I don’t think there will be lawsuits; the Boy Scouts were exposed because they often used public property (and the Girl Scouts were OK because they allowed perverts - they could use Caesar’s buildings).
Guess we’ll wait and see...quite a few BS groups meet in churches, maybe they are liberal churches, I don’t know, but if pastors should not be allowed to speak out from the pulpit against homosexuality because it’s deemed a hate crime, then it’s easy to see that groups that exclude them might be sued. Unless something turns around...