If I'm reading this correctly, it sounds like the ABCPSW got it right.
You did get it right. The ABCPSW broke away from the rest of the American Baptists because of their stance (or lack there of) on homosexuality. The ABC is an entirely different denomination from the SBC (some would say that the ABC is basically more liberal than the SBC to give you some reference) who has nothing to do with this split. Sadly, this has been brewing for awhile and was in the works for some time.