Absolutely. Its a simple google search of 'abusers getting custody'. You'll see a lot of info stating this.
Best page, chock full of articles, data, etc is:
(you'll even find the handy-dandy pdf the ABA distributes regarding this, I think its called "10 myths about domestic violence" or something like that)
.
Be sure to scroll down to where they talk about "PAS" and the "doctor" that came up with this "diagnosis" that no legitimate psychiatry or psychology association accepts. The US family courts and CPS literally are pushing theories of a pro-pedophilia agent/"doctor". Not a conspiracy thoery, its reality.
I did reply to you, Im still working out how the forum works, but scroll and you will find it.
If he does go, I pray he decides to represent himself, just because it will be good for the shiggles.