The US should accept that Turkey is and will be playing it's own role in the region. Not always it will be in Anerican interests. The US will have to adapt to this and rethink their policy about Turkey, NATO and the Middle East.
Gee! That hints at some intelligence, but it doesn't hint at any answer on what Biden is trying to do.
Or more correctly, what Biden's handlers are trying to do?
It is a complex question. Is trying to do, can do or should do? These are three questions that can have three different answers.
I think that the US should try to establish something like East Mediterranean 'NATO'. Needles to say that Turkey wont be included in it. On the contrary, its goal among others will be confronting Turkey.
The oil is running out in strategic quantities, soon the ME region is back to fighting over water holes and stealing each others' sheep and goats. Turkey's only strategic importance is also greatly diminished since the fall of the Soviet Union, at least to the U.S.; it's still a big deal to Europe, but Europe is busy speeding up its own decline as well, no point in us continuing to finance their defense when they don't want to themselves. With no global hegemon to keep all the assorted vermin and gangsters in check, re-alignments are inevitable, and usually that means lots of murders and wars.
A 'NATO' in the eastern Med is what we already had with Israel. Biden and the Democrats are Iranian allies, openly so. hence the Israeli moves in other directions. Israel has itself refused to acknowledge the genocide, same as Palestinian Jews made apologies for and supported Turkey back when they committed the massacres, and not a good sign for the future. They will regret their support for the current genocide of Armenians they're making a buck providing weapons for, for very fleeting short term gains.