Hello Demsterious,
first of all, welcome to FAForever
Without a "game.log" i can only guess;
I don't belief that Black Ops is causing desyncs.
Maybe if you overwrite an old versions of Bo with the new one, without deleting the old first.
If you are playing the Beta, it's more likely you and your friend are not using the same build.
Even if you are using version 3652. All 3-4 Days there is a "new" 3652 version.
Try to udate the game with the FAForever Lobby on all PC (at the same time) and try again.
If you are sure your mod folder contains the same files as on your friend's PC, and you still have desync's maybe some other gamefiles dont have the right version.
Copy the directory:
C:\ProgramData\FAForever\gamedata
from your computer to your friends PC.
And try again.
If you still have desync issues try to copy the whole gamedir to your friends computer.
Desync is caused to ~75% by different gamefiles. So we should try to have the same files on both computers.
As i said, this is only a guess, maybe i am totally wrong.
[edit]: Be sure maps are also the same on both PC!