It stuns me that Republican Mormons think that Evangelicals like them for anything but their political assistance. As soon as Evangelicals remove the non-Christians, their tent will get smaller, just like you're saying.
I have Mormon family that thinks that they're welcome in the Evangelical tent (they'll even visit the Ark Experience!), but Evangelicals hate Mormons just like they hate gays, liberals, trans people, atheists, etc. It's just that Mormons (for now) vote the way that Evangelicals want.