There is also a TSA background check separate from the license verification. Step #2 is not required. If you do step 2 you will get a 61.75 FAA certificate that says Private Pilot Single and Multi-engine Land (assuming that's what's on your CAA license) A320 VFR ONLY. If you can show the instructor who instructed you for your CAA 320 type held a FAA CFI certificate then when you get a regular FAA certificate the 320 type can be transferred. Otherwise there's no way to transfer it. You can skip step 2 because you are eligible for a regular FAA ATP as the holder of a foreign ATP. Looking at a few Regional hiring pages some want a ME Commercial or ATP some only want 50 MEL. And in the FAA system the ATP is just a fancy IR so adding that to the name of the ATP is redundant.