Likewise. It would crash a few times at the beginning, then start working fine, but after a couple of hours crash was repeated.
I'm afraid the cross-play patch will not fix anything, since it will allow you to play in co-op from different platforms, but will not affect the split-screen mode in any way.
This is a truly critical bug that ruins the entire gaming experience. Through blood and sweat I got to act 3, but I no longer have any desire to continue.