The short, and most likely, answer for most people is 'No, you aren't able to work in the US' if you just get an FAA licence.
The long answer is that, like just about every country, you need to be citizen of the country or hold a visa that permits you to work in that country. No different to someone from the US wanting to work in another country. You said you were moving here? Under what visa and what are the conditions attached to your visa? That will answer your question better.
Last edited by Tinstaafl; 30th Aug 2012 at 03:37.