You know, I've long had an idea which I am not sure is good.
Suppose you had a law that said that if a medicine or procedure has been authorized in the European Union, it would immediately receive FDA approval (or at least receive it faster).
My rationale is like this: FDA approval requires expensive tests that cost millions upon millions of dollars. The European approval system is as tight or almost as tight as America's, so once a company did all the tests once and had already complied with the law there, there's no need to spend hundreds of millions of dollars to do it again.
This would benefit everybody – the healthcare providers, the pharmaceuticals, and clients. This would be fairly mainstream (note I did not say that medicine needs to be untested), and the politicians might accept it.