that's why starting with the "political spectrum" is bound to give you false information. it compresses too much of the complexity down into a simple model that doesn't predict the world in any meaningful way. it may aid conflict, but that's exactly the trouble: couching sociopolitical challenges purely in terms of conflict itself perpetuates, rather than helps to solve, problems.
and as others have noted, you can just as easily have multiple political coalitions coming together to solve problems without devolving into dualism. humans prefer but don't require binary political stances as you're asserting. moreover, even binary issues won't all fall neatly into a single left-right spectrum without active coercion (which is most of what we see in mediopolitical theater).