Hi Topper
This has all been done on the forum before, but with no search function you are cut off from research.
In a nutshell - the FAA conversion requires that you take all the knowledge exams - CPL, IR & CFI (instructor) CFII (Instrument instructor) plus four flight tests with a fairly hefty oral exam prior to the test in each case.
That's the easy bit! THE HARD BIT is getting to use all of these in the US without a Green Card which is almost an impossibilty! Loads have tried it few have succeeded.
Good luck
E S