1996 cobra rear end

I have a rear end from a 96 gt that already has upgraded 4.30 gear and the diff welded. I know their both 8.8” rear ends but the cobra has abs and my gt does not. I’d rather swap rear ends, than buy a new gear set and have someone weld the diff. Mainly because I can sell a cobra rear end for a lot of money but the gt rear end will be a tough sell since not everyone wants a welded diff.

Will this swap work? I don’t need abs, this is a drift car and I’d prefer to remove it anyways.