As the title implies, I'm installing all the different sub-mods for project red and when Mechanical is put it, it crashes the game. Everything else seems to work just fine but I'm not sure what the problem is. Any help is appreciated, thank you!

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

-- System Details --
Details:
Minecraft Version: 1.6.4
Operating System: Windows 7 (amd64) version 6.1
Java Version: 1.8.0_45, Oracle Corporation
Java VM Version: Java HotSpot(TM) 64-Bit Server VM (mixed mode), Oracle Corporation
Memory: 195420480 bytes (186 MB) / 344449024 bytes (328 MB) up to 1060372480 bytes (1011 MB)
JVM Flags: 6 total; -XX:HeapDumpPath=MojangTricksIntelDriversForPerformance_javaw.exe_minecraft.exe.heapdump -Xmx1G -XX:+UseConcMarkSweepGC -XX:+CMSIncrementalMode -XX:-UseAdaptiveSizePolicy -Xmn128M
AABB Pool Size: 0 (0 bytes; 0 MB) allocated, 0 (0 bytes; 0 MB) used
Suspicious classes: FML and Forge are installed
IntCache: cache: 0, tcache: 0, allocated: 0, tallocated: 0
FML: MCP v8.11 FML v6.4.50.1,345 Minecraft Forge 9.11.1.1345 12 mods loaded, 12 mods active
mcp{8.09} Minecraft Coder Pack Unloaded->Constructed->Pre-initialized
FML{6.4.50.1,345} Forge Mod Loader Unloaded->Constructed->Pre-initialized
Forge{9.11.1.1345} Minecraft Forge Unloaded->Constructed->Pre-initialized
CodeChickenCore{0.9.0.9} CodeChicken Core Unloaded->Constructed->Pre-initialized
ForgeMultipart{1.0.0.244} Forge Multipart Unloaded->Constructed->Pre-initialized
ProjRed|Core{4.3.7.32} ProjectRed Unloaded->Constructed->Pre-initialized
ProjRed|Transportation{4.3.7.32} ProjectRed-Transportation Unloaded->Constructed->Errored
ProjRed|Compatibility{4.3.7.32} ProjectRed-Compatibility Unloaded->Constructed->Pre-initialized
ProjRed|Illumination{4.3.7.32} ProjectRed-Illumination Unloaded->Constructed->Pre-initialized
ProjRed|Expansion{4.3.7.32} ProjectRed-Expansion Unloaded->Constructed->Errored
McMultipart{1.0.0.244} Minecraft Multipart Plugin Unloaded->Constructed->Pre-initialized
ForgeMicroblock{1.0.0.244} Forge Microblocks Unloaded->Constructed->Pre-initialized

I use gregtech and traincraft and the best version is on 1.6.4 so that is where I will stay until they decide to go forward.

You shouldn't expect to get support from most developers, then. As you said, everyone else has moved forward, which means 1.6 builds of most mods aren't supported anymore, just 1.7/1.8, so don't expect much.
Also, GregTech is available for 1.7.10. Granted it's not the same one as the one you're playing with, but no version of GT is even close to the one before it. Traincraft seems to have been abandoned, though. They had plans for 1.7 but an update was never released, so I don't know what you could do in that regard...

Can't offer support for such an outdated version

There is no crash report in your ticket. Please attach full crash report. Wrap it in triple backticks so Github will show it in readable form.

```
crash report goes here
```

You need Project Red Integration for Mechanical to work.

1.6.4? that's 2 years out of date. Update.