There are enough doctrinal differences between the evangelicals and the Baptists to separate them. Personally, I was raised Southern Baptist in an area of Texas that was half Catholic. All of us growing up together knew there were enough common areas to make common cause. The Baptists' big problem was CYO dances and drinking (I used to suffer through Sunday sermons in misery after a Saturday night partying with my buddies at CYO dances).
It did not bother my parents at all when I converted to Catholicism when I married a Chicago Irish girl. The RE teacher at her church was really surprised at how much I already knew.
Lol ... this past week was Cana Sunday. Our pastor began his homily with a personal story. Several years ago, he was invited to a wedding. At the reception, he found himself in conversation with a (female) Baptist Minister. He offered her a glass of wine. She politely refused, explaining that she was a Baptist. He asked her why Baptists don't drink and she cited various scriptures - all from the Old Testament.
Father asked her if she believed that Jesus was the Son of God and if she accepted the Bible as the Word of God, to which she of course said yes. He then asked her how Jesus had evangelized? She seemed perplexed by the question. Father cited the New Testament scriptures, showing her how Jesus evangelized by eating and drinking with the people. He asked her once again if she preferred red or white wine. She had a glass of red wine ;-D