I did the same thing as The Greaser from '97 to '99. Did everything through CFII at a large flight training school (NAIA in South Carolina) in 7 months. Left there with 250 hours, got an instructing job immediately. Flew 80-130 hours per month for ten months. Then, once I had 1200 hours, got a job flying single-pilot air taxi in singles and twins. Left the States in 2 years with 2000 hours and 500 multi. This made it relatively easy for me to secure a flying job in the UK after converting the licence.
It takes determination, but it most definitely CAN be done