Perhaps an implementation of the idea could reduce arguments of a political thought into an axiom, e.g. (this is probably wrong) abortion should be legal....<insert a tree of arguments here>..., assuming individual liberty is the most important quality of a society, vs abortion should be illegal....<insert a tree of arguments here>..., assuming maximising human life being the most important quality of society.

In that case you could see where you fundamentally disagree with a political idea, and accept the difference quickly without rehashing past arguments.