Hi there. I seem to be having the same/similar problem as a couple others, in that my game crashes before it fully loads. Removing "MCA-1.7.10-4.1.3-universal.jar" and leaving "RadixCore-1.7x-1.3.3-universal.jar" along with the variety of other mods I use allows the game to load up just fine.
I'm using Java 6 here instead of Java 7 because my machine is refusing to launch with 7.(I change the executable line within the launcher profile to where Java 7 is, but no luck.That's another problem for another day,though).
I'm running the game on Mac OSX 10.9.5,giving MC 2G Max RAM.

---- Minecraft Crash Report ----
// You're mean.

Time: 10/9/14 7:17 PM
Description: There was a severe problem during mod loading that has caused the game to fail

cpw.mods.fml.common.LoaderException: java.lang.ClassNotFoundException: mca.core.MCA
at cpw.mods.fml.common.LoadController.transition(LoadController.java:162)
at cpw.mods.fml.common.Loader.loadMods(Loader.java:502)
at cpw.mods.fml.client.FMLClientHandler.beginMinecraftLoading(FMLClientHandler.java:204)
at net.minecraft.client.Minecraft.func_71384_a(Minecraft.java:480)
at net.minecraft.client.Minecraft.func_99999_d(Minecraft.java:867)
at net.minecraft.client.main.Main.main(SourceFile:148)
at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:39)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:25)
at java.lang.reflect.Method.invoke(Method.java:597)
at net.minecraft.launchwrapper.Launch.launch(Launch.java:135)
at net.minecraft.launchwrapper.Launch.main(Launch.java:28)
Caused by: java.lang.ClassNotFoundException: mca.core.MCA
at net.minecraft.launchwrapper.LaunchClassLoader.findClass(LaunchClassLoader.java:191)
at java.lang.ClassLoader.loadClass(ClassLoader.java:306)
at java.lang.ClassLoader.loadClass(ClassLoader.java:247)
at cpw.mods.fml.common.ModClassLoader.loadClass(ModClassLoader.java:58)
at java.lang.Class.forName0(Native Method)
at java.lang.Class.forName(Class.java:249)
at cpw.mods.fml.common.FMLModContainer.constructMod(FMLModContainer.java:420)
at sun.reflect.GeneratedMethodAccessor6.invoke(Unknown Source)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:25)
at java.lang.reflect.Method.invoke(Method.java:597)
at com.google.common.eventbus.EventSubscriber.handleEvent(EventSubscriber.java:74)
at com.google.common.eventbus.SynchronizedEventSubscriber.handleEvent(SynchronizedEventSubscriber.java:47)
at com.google.common.eventbus.EventBus.dispatch(EventBus.java:322)
at com.google.common.eventbus.EventBus.dispatchQueuedEvents(EventBus.java:304)
at com.google.common.eventbus.EventBus.post(EventBus.java:275)
at cpw.mods.fml.common.LoadController.sendEventToModContainer(LoadController.java:208)
at cpw.mods.fml.common.LoadController.propogateStateMessage(LoadController.java:187)
at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:39)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:25)
at java.lang.reflect.Method.invoke(Method.java:597)
at com.google.common.eventbus.EventSubscriber.handleEvent(EventSubscriber.java:74)
at com.google.common.eventbus.SynchronizedEventSubscriber.handleEvent(SynchronizedEventSubscriber.java:47)
at com.google.common.eventbus.EventBus.dispatch(EventBus.java:322)
at com.google.common.eventbus.EventBus.dispatchQueuedEvents(EventBus.java:304)
at com.google.common.eventbus.EventBus.post(EventBus.java:275)
at cpw.mods.fml.common.LoadController.distributeStateMessage(LoadController.java:118)
at cpw.mods.fml.common.Loader.loadMods(Loader.java:492)
... 10 more
Caused by: java.lang.UnsupportedClassVersionError: mca/core/MCA : Unsupported major.minor version 51.0
at java.lang.ClassLoader.defineClass1(Native Method)
at java.lang.ClassLoader.defineClassCond(ClassLoader.java:637)
at java.lang.ClassLoader.defineClass(ClassLoader.java:621)
at java.security.SecureClassLoader.defineClass(SecureClassLoader.java:141)
at net.minecraft.launchwrapper.LaunchClassLoader.findClass(LaunchClassLoader.java:182)
... 37 more

A detailed walkthrough of the error, its code path and all known details is as follows:

-- System Details --
Details:
Minecraft Version: 1.7.10
Operating System: Mac OS X (x86_64) version 10.9.5
Java Version: 1.6.0_65, Apple Inc.
Java VM Version: Java HotSpot(TM) 64-Bit Server VM (mixed mode), Apple Inc.
Memory: 43818000 bytes (41 MB) / 198823936 bytes (189 MB) up to 2138767360 bytes (2039 MB)
JVM Flags: 1 total; -Xmx2G
AABB Pool Size: 0 (0 bytes; 0 MB) allocated, 0 (0 bytes; 0 MB) used
IntCache: cache: 0, tcache: 0, allocated: 0, tallocated: 0
FML: MCP v9.05 FML v7.10.85.1222 Minecraft Forge 10.13.1.1222 36 mods loaded, 36 mods active
mcp{9.05} Minecraft Coder Pack Unloaded->Constructed
FML{7.10.85.1222} Forge Mod Loader Unloaded->Constructed
Forge{10.13.1.1222} Minecraft Forge Unloaded->Constructed
CodeChickenCore{1.0.2.9} CodeChicken Core Unloaded->Constructed
MCVanillaTweaks{1.0} Mariculture - Vanilla Tweaks Unloaded->Constructed
NotEnoughItems{1.0.2.15} Not Enough Items Unloaded->Constructed
ThaumicTinkerer-preloader{0.1} Thaumic Tinkerer Core Unloaded->Constructed
OpenModsCore{@Version@} OpenModsCore Unloaded->Constructed
jammyfurniture{4.6} Jammy Furniture Mod Unloaded->Constructed
ArchimedesShips{1.7.10 v1.7.1} Archimedes' Ships Unloaded->Constructed
Backpack{2.0.1} Backpack Unloaded->Constructed
BiblioCraft{1.8.2} BiblioCraft Unloaded->Constructed
BiblioWoodsEBXL{1.2} BiblioWoods ExtraBiomesXL Edition Unloaded->Constructed
Mantle{1.7.10-0.3.2.jenkins184} Mantle Unloaded->Constructed
Natura{2.2.0} Natura Unloaded->Constructed
BiblioWoodsNatura{1.4} BiblioWoods Natura Edition Unloaded->Constructed
CustomSpawner{3.3.0} [DrZhark's CustomSpawner](CustomMobSpawner 3.3.0.zip) Unloaded->Constructed
MoCreatures{6.3.0} [DrZhark's Mo'Creatures Mod](DrZharks MoCreatures Mod v6.3.0.zip) Unloaded->Constructed
Enchiridion{1.1} Enchiridion Unloaded->Constructed
EnderStorage{1.4.4.6} EnderStorage Unloaded->Constructed
eternisles{Alpha 1.5} [Eternal Isles](eternisles-1.7.2 - 1.0.3.jar) Unloaded->Constructed
ExtrabiomesXL{3.16.RC3} ExtrabiomesXL Unloaded->Constructed
FastCraft{1.9} FastCraft Unloaded->Constructed
MapWriter{2.1.1} MapWriter Unloaded->Constructed
TConstruct{1.7.10-1.7.0.build721} Tinkers' Construct Unloaded->Constructed
Mariculture{1.2.3d} Mariculture Unloaded->Constructed
radixcore{1.3.3} RadixCore Unloaded->Constructed
mca{4.1.3} Minecraft Comes Alive Unloaded->Errored
cfm{3.3.5} §6MrCrayfish's Furniture Mod Unloaded->Constructed
OpenMods{0.6} OpenMods Unloaded->Constructed
OpenBlocks{1.3} OpenBlocks Unloaded->Constructed
Baubles{1.0.1.8} Baubles Unloaded->Constructed
Thaumcraft{4.2.1.3} Thaumcraft Unloaded->Constructed
ThaumcraftMobAspects{1.7.2-2A} Thaumcraft Mob Aspects Unloaded->Constructed
ThaumicTinkerer{2.5-1.7.10-158} Thaumic Tinkerer Unloaded->Constructed
TwilightForest{2.3.2} The Twilight Forest Unloaded->Constructed
Mantle Environment: Environment healthy.
TConstruct Environment: Environment healthy.

Installing the Java 7 version of the JDK seems to finally get Macs to recognize Java 7: http://www.oracle.com/technetwork/java/javase/downloads/jdk7-downloads-1880260.html

MCA should no longer require Java 7 in the next release.

Ah,wonderful! Thank you,it's finally recognizing J7.
My games a bit laggy, but it's up and running now,MCA included. c:

Please close the issue when it's solved.