Tongues are divisive. Any church, Baptist or otherwise, which allows even a flicker of that practice is asking for big trouble.
Here's why. First, unless everybody in the church buys into tongues, then people are going to take sides. You stand to lose a significant portion of your members, depending on who's in the minority. If the tongue folks can't make a lot of headway, then they'll leave and find a church which will have them. Same for the non-tongues folks. If they can't stamp out the practice, they'll leave. Either way, you risk gutting your church. Co-existence is highly improbable.
Second, tongues-speaking can produce arrogance. If I speak in tongues and you don't, guess who I think is more spiritual? I am, of course, and there's something spiritually deficient about you. Spiritual elitism is not good for any church. Humility is quite difficult for people who think they're more spiritual because they exercise the "gifts."
My advice: if it rears its head in your church, move quickly to deal with it.
Tom,
Years ago, there were tongues speaking folks who tried to push tongues speaking on some Baptist churches that caused divisions. This was not a good approach; when in Rome, do as the Romans do. Also, tongues speaking Christians have matured and learned that speaking in tongues is not all that important.
However, today there are quite a few Private Prayer Languange Christians in Baptist churches who accept the fact that many good Baptists do not want tongues speaking in their churches; so they speak in tongues only in their private devotions to prevent divisions.
This helps explain the 2007 Lifeway survey results listed in a previous post here.