right, a type rating on the b737 should cost around 12000$.When you get your type rating, you will receive in same time the US ATP(if you have over 1500tt).
it is not the CPL you have to study, but the ATP book. A good book is the gleim from Dr. Gleim.
to be sure, contact a FSDO(flight service district office) in the USA.
And you have to check with the TSA too!!!