Should foreign-born Americans have an opportunity to run for president?

This is an issue I'm really torn about. There's a part of me that says, no the office should only be open to US-born citizens, not someone who was naturalized regardless of the length of time they've lived here or been a citizen. Then another part of me says that the best candidate should have the opportunity, but what if the best candidate happens to be someone who wasn't born here?

I've got some thinking to do on this one.