This is something you could mock up in your garage to test out. If all the gear runs on 12v and you have potentially very long cable runs, you can purchase larger (more amperage) and adjustable voltage power supplies.

Most gear like this can take some variance in voltage, so if you have a standard 12v/1a ps and you try actuating the strike, it might not work at all since the voltage at the far end may only be 10v, for example. If you put a larger, adjustable ps, say one with variable voltage up to 18v and 2amps of available current, then you could probably set it to 14v and everything should be fine. At that point, you might be reading 12-13v at the far end and when you try actuating the strike, there will be a large enough "bucket" of current available to make it work.

The most basic way to explain it, which is how it was explained to me is that voltage is pushed and current is drawn.

You can have a 12v device that draws 1 amp to do something. If we hook it up to a huge, adjustable ps that is rated at 12v/ 50 amps, it will work perfectly fine.
However, if we connect it to the ps set at 100v/100ma, you'll see smoke instantly, even before we try actuating it.

Hopefully that makes sense.