The US already has bases on Greenland. It is part of the Kingdom of Denmark and therefore is already a NATO ally territory. They already have all the "control" they need to keep it out of the hands of Russia and China. There is no need to "let" the US have "control". If the US were being run by people who understood the basis on which they have a base there, they would realise they already have all the control they need from a strategic perspective.

Yes, all of this is true. But they need the American president to find an off ramp that somehow satisfies his faction's desire for ownership without blowing up Nato - at least not before the mid-terms.

As for no stomach for a fight, Nato Europe can't even shoot down shahad drones that fly over their own territory.

This is not how it should be, but it is.