@Sean
If you born in Sri Lanka or any other country that is considered eligible then you are eligible for the Diversity Visa lottery that issues about 50,000 green cards every year
Once you get that and convert to an FAA license then you should be eligible to apply to the regionals or majors in the US
http://travel.state.gov/pdf/DV_2014_Instructions.pdf
But if you are a Canadian
PR born on North American soil then you are not entitled to the lottery. You will not be granted the right to work in the US. An interior designer or a librarian will but not a pilot. Curious how regulations work! Sri Lanka yes but not Canada.