We moved already our site form Germany to a server in the U.S and in a very short time our rankings and traffic in the U.S improved dramatically.
We experienced some loss in the German local results though. But we were not concerned about that.
If someone disagrees with me here, I am not willing to go into a debate about this, as this is my experience, and it is a fact.
One factor is that local results are based around the domain extension.
Another factor is the origin countries of your IBLs.