...Probably. I can't quite see them not butting heads if they were both gods, if only over a weird... possessiveness over the important people in their life/lives?

And arguments about the details that don't line up, tbh

(I mean I guess Sanzo and Sanzang at least mean there's Far Shore precedent for hanging out with your alternate universe self so it wouldn't be a total shock, but Sanzang is about 500% more chill than either of these two.)