Watch out for that 50 vs 60 Hz difference. That should be the only real obstacle to run PAL Amiga in USA (120 V 60 Hz).
The display may have difficulty dealing with PAL 50 Hz or being run with 60 Hz in some cases. In particular if it's a CRT.
I'm afraid that the voltage into the A1200 is DC (direct current) and there is no Hz involved as there is in AC (alternating current -- which by definition has a time frequency for the wave-to-wave changes). Theses AC frequencies were set over 100 years ago to the time a generator spun its magnet 360 degrees -- the thinking in the US was that it would help in making an electric clock; in the 1890's use AC as a time signal for TV was unimaginable. The monitor may have issue with the frequency as by definition, the transmission of the video signal was sync'd to the AC current; remember there were no other oscillators in the 1930's to lock a signal to; the first digital watch used a small tuning fork, not a quartz crystal).
"World Monitors" with lax parameters such as the A1084 were designed this way; but now you will likely look for a monitor that really syncs to those frequencies. I would look for recommendations online.