It may be hard to believe but there are a group of people in the Southern Baptist Convention who argue that a non-believer should not accept Jesus into their heart. This group of people are called "Calvinist" and "Reformed." They are coming out of two seminaries in droves: Southeastern (Wake Forest, NC) and Southern (Louisville, KY) seminaries. If you are in a traditional Southern Baptist church, you might want to avoid hiring a pastor who self-identifies as a "Calvinist" or Reformed."
Dr. Steve Gaines, Bellevue Baptist Church, has a great word about the biblical support for accepting Jesus into your heart.