The Left will never even acknowledge the Right has one inch of ground to stand on much less give up that ground to appear to be more magnanimous and rational.

See gun control for a lesson in this. Every "compromise" simply gives up ground and that becomes the new baseline until the next infringement. There is never anything ever given back in trade.

Compromise is only possible when both parties have a compatible desired end state. If we're both hungry, but you want Chinese and I want Mexican we can come to a compromise where we both eat food that satisfies our hunger. When goals are incompatible, such as one party wanting to ban guns and the other party wanting free access to them, it's more akin to a tug of war. Any gains you give the other side simply weakens your own. Pretty much every cultural dispute between the left and the right falls into the second category.