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Remember Jaime Braddock gave his life so the Monk wouldn't succeed

If it's omni-God goat then he wins even if the battle is within MJJ's warp.

Also, Jamie didn't exactly give his life but got ambushed from behind and killed.

What are the Goat Monk's feats?

^ it was a future version of Jamie, so all Jamie's feats apply to him. But he managed to become God on an omniversal scale via the omniversal tower in the end (uncanny x force #23):

http://i.imgur.com/C09uQMP.jpg
http://i.imgur.com/54LJl4q.jpg

He became "omni God". He got defeated because present Jamie got killed (killing the future version of the process which was the goat)

At that point he should handle MJJ, imo. If not then it could go either way.

Silly story but it counts. I agree with your assessments