I dunno. My understanding of coalition building is "we disagree about a bunch of stuff, but we agree on this one thing, so let's work together on it". You seem to be saying: "if you disagree with me on the other stuff, your agreement on this thing is rooted in a contradictory value system you haven't fully examined".
Is that correct?
Not exactly.
Values have a hierarchy. You can't (effectively) agree to painting everything the color blue, if you can't agree what the color blue is.
And you will run into a very similar issue when everyone starts objecting to the pink you have spread everywhere, despite supposedly agreeing to the color scheme.