Baptist are definitely Evangelicals.
There are a bunch of different Baptist strains. There are fundamentalist, evangelical, primitive, and charismatic strains. Many assume that all Baptists are Southern baptists, and try to apply an organizational template like the Roman Catholic, Episcopalian or Methodist Churches have. Each Baptist Church is a totally independent business organization, and may or may not be affiliated with other Baptist churches. Also, the name "Baptist" isn't copyrighted, so any church can call itself a Baptist church, if it so wishes.
I had never heard of this guy before the scandal, but every photo I've seen of him gives me the creeps.