I'll just continue to fly as I do now - an N reg with FAA IR. I also have JAA PPL along with IMC rating, and if I get ramp checked, I'll leave it up to "them" to determine where I am domiciled, or whether the aircraft operator is based in the EU.
I can't be bothered to jump through hoops for these clowns. Worse case scenario I'll take one last flight to take my aeroplane to the USA and sell it there. I'll then buy a boat, and do all of my flying in the USA.