When I say find common ground I mean things that you (both) already agree with, i.e. it's bad to kill people, it's good to help people in need.

It wasn't my intention to advocate for 'compromising on values' rather, I think the best way to do any discussion is being honest, and that starts with being honest about your values.

I think the whole point of my method is to identify who is the person that's compromising their values, i.e. someone who agrees with "it's good to help people" but then disagree with social healthcare shows that somewhere on the imaginary line between helping people and social healthcare that person flips their opinion, which is incredibly helpful information in debating.

yes, this. zooming out doesn't mean moving away from my values, but moving away from the disagreement, to facets that we agree on. then build rapport on that, and figure out what causes the difference in opinion.