Until conservatives can see why even today’s liberals have a point, though approaching a good thing (social harmony) in a wrong way (government nannydom) we probably cannot agree on Christian faith either. At the very least old grudges must be cast in the dustbin.
I respectfully reject your hypothesis.
C.S. Lewis: “Of all tyrannies, a tyranny sincerely exercised for the good of its victims may be the most oppressive. It would be better to live under robber barons than under omnipotent moral busybodies. The robber baron's cruelty may sometimes sleep, his cupidity may at some point be satiated; but those who torment us for our own good will torment us without end for they do so with the approval of their own conscience.”