Another ABS / Traction Control Question

[Olly]

Hi, I got a stock 2012 45th 2SS/RS LS3 Manual I am replacing my whole rear end with a solid axle. Once I do however the stock ABS won't work on the back at all so was wondering since I've read conflicting reports will the car function with the ABS and Traction control disconnected? I would be disconnecting all the sensors seeing as the rear ABS won't even be on the car. I've read that people have pulled fuses and sometimes it has worked and other times it had caused the car to bog down. I haven't done the modification yet but once I do there's no going back. Just basically want to make sure the car and throttle body will function properly since it won't be reading any of the abs/ traction control anymore. Any advice or help is greatly appreciated. On a side note, the reason why I can't conform the stock abs is because I'm going to a 14 floater axle and the hub diameter is way to big to modify the stock abs magnet and ring to read accurately with the front.