Once again, Beaver Driver, you're showing your complete lack of knowledge of the matter - except that which you pick up from the US media.
Let me try and make it simple for you....
1) US carriers demand unlimited rights to fly on inter-European points (eg LHR-FRA). The US does not permit anyone to operate domestic flights (eg LAX-JFK) or even flights to points beyond the USA (eg LHR-JFK-YVR).
Fair? Nope!
2) US carriers demand unlimited access to certain European airports; but claim capacity constraints at US airports such as BOS.
Fair? Nope!
3) US carriers have the right to operate wet leases on behalf of European carriers, effectively stealing jobs from European pilots. European carriers, however, are not permitted to perform wet leases on behalf of US carriers except where the crews have US citizenship or Green Card status.
Fair? Nope!