The cap that fits

Then still in this abysmal place
Twixt theirs and ours
and yours and mine
We find the time to argue
But never to agree.
Unless one will wear the cap of shame and the other rescue
yards and yards of yarn unravelling to the sea of equilibriam.
What a way to go!
I suspect this solution to leave the inevitable ring of truth - given the time it takes to find the cap that fits.