If you can work in the US then it's a no-brainer - get FAA. Get EASA only if you must. Ultimately it depends on where you're allowed to live and work.
I've done both and to give you an example of how ridiculous EASA exams are - on the subject of GPS they want you to know how many satellites, their orbit angle relative to the equator, speed, altitude, frequencies, how many atomic clocks onboard and the accuracy of those clocks. At no point will you learn what a GPS receiver looks like or how to turn one on.