Nah most of the bible belt are baptists, evangelicals, and people who don't even believe in Christianity but use it as a cover for their fascist bullshit. There is no universe where they would get along with Catholics. Having them be that close to the Catholics would probably result in another protestant vs catholic war.
US Catholics have adapted a lot of the beliefs from the protestant-oriented groups in the US. Try asking Paul Ryan or Rick Santorum if they accept the Vatican's official stance on evolution and watch them squirm. Having the Vatican be right there would be . . . difficult.