Most of the pilots in Europe looking for work went through a fATPL integrated system that left them with just over 200 hours and the equivalent of $150k in debt. The ones who haven't found a job since completing their training don't qualify for even a regional job in this country and the FOs working at entry-level places like Ryanair or easyJet would only be competitive for a US regional airline, and that's AFTER getting their US ratings and the right to live and work here.

Regardless, career destinations like VA and BA are hiring, so pilots with experience are moving on to places like that, not holding out for a job in the US.

There are always exceptions, of course. Some have personal reasons for seeking employment in the US, but there is certainly no threat of European pilots flooding the US market.