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For wifi control, just wire a receiver to the input of a solid-state relay. solid-state relays rated 600VDC+ is pretty common, current can be 100's of amps. Main issue is that SSR rated 600VDC has ~1.2VDC voltage drop.

It is possible to use the ohmic property of FETs themselves to limit inrush. However it will be very expensive lol.

20kA for 1-10ms is feasible, just crazily expensive. To actually reduce inrush with FETS you can try to use their ohmic property. It's extreme risk, and I would only try it with an unlimited budget lol.

Nah don't try limit inrush current by using MOSFETS as resistors. It's a bad suggestion, possible but not practical lol

lol these transitor typically does 80A tops, manufacturer has their legs rated at ~120A or so.

there are solid state contactors now that can just handle the raw power, no inrush current mangement circuitry needed