OBA do the JAA licence as do quite a few FTOs in Florida and across the US, so you should'nt have a problem there.
To get the ATPL, there are various ways to do it - either an integrated course from nothing, modular courses over time, or just by plugging away through hour building, ME/IR & CPL.
There's loads of really good threads on the Wannabes forums - but be aware you'll be looking at +£30k to get to fATPL level.