OS: Win7x64
Game version: 1.11.0.3 (Windows Player x64)
DLC: Making History, Breaking Ground
Mods:
http://i.piccy.info/i9/b9a95cc6b132694d5a13e4cecb607924/1616073259/349018/1421564/2561kspModsList.jpg
Screenshot from game:
http://i.piccy.info/i9/2236ae0b5b11ec15fd4c6bcb0417e032/1616073764/115232/1421564/fromGame.jpg
I had no problem before installing KIS and KAS
The bug is reproducible in 100% of cases.
I left the kerbonaut on the surface of the planet with a standard backpack for research equipment attached to its back.
After loading, everything started to slow down and clone endlessly. I hear the sounds of explosions, probably the space ship nearby is also being cloned.
I hope this information will help you to fix problems, I really like your modification

I think to have the same problem, i was at Mun with 4 landed vessels with landing gears, 2 experiment objects, 1 vessels without landing gears, 1 rover, and 1 kerbal with KIS backpack Container.
I moved from my Mun Base to repair a vessel 5km away using rover grabbing a ladder, after arrive i repaired and saved, so i closed the game, today i loaded my save, i equiped the container from the repaired vessel and drived it to near my base, i switched to my rover and took my kerbal to my base, at base i walked with kerbal to my hitchhiker front and saved.
After reload this save, my rover jumped, fps dropped a lot, my kerbal distorted his body, it was too much slow to know what was happening.
Here the player log. If you need something more let me know.

Player.log

Please, provide logs. Also, I see your game is heavily modded. It can be a mods conflict, but with this many mods it's unlikely we could figure out which mods are conflicting. Try to remove as many mods as you can. In the clean install KIS/KAS never cause such problems.