Not really. The federal government should take as strong a stance against executions as possible. Just because some regions choose to be repressive backwaters doesn't mean that the Atlasian government should be sending people over to third world hellholes to be executed.
I strongly object to the Northeast being called a backwater and/or a third world hellhole.
As a side note, this sort of extradition policy would be a big public relations plus for Atlasia looking to rebuild common ground with allies like Canada and the European Union.
From what I hear, we "ain't no superpower," so what does that kind of thing matter?
Actually, that's precisely why it matters. All powerful countries like George Bush's America can go around bending international law at will and tell their reputation among their allies to go swallow lye. Belgium or Slovenia can't.