Well, it might not be easy to throw 'em all out individually, in the literal sense. But, if Church leaders would simply realize that these people, by (among other things) excising St. Paul from the scriptural canon, have excised themselves from the Body of Christ, they may yet see that they do not have to appease and coddle them, and can get on with authentically ministering to the rest of their flock.
I keep thinking of Ezekiel 9 where God showed Ezekiel the Babylonian exile a vision of His temple filled with worshippers of Asherah and Tammuz.
That didn't happen overnight. Doubtless "open minded" priests explained that in the modern world they should be more inclusive and tolerant towards other faith traditions. Asherah, Yahweh. What's the difference ? It would be so judgemental to limit worship to just worshippers of God.