At one time they made part washers that could handle mineral spirits but I have not seen any lately, only water base units. There some very engine cleaning soaps on the market now. Here I use a product call Purple Power ( available my auto parts supplier) that I use with my engine cleaning wand connected to my air compressor. It cleans about as well as 2 cycle fuel mix. Both however requires a rinse afterwards. The soap is biodegradable and is a safer to use for you and the environment though normal personal protection should still be use.

Btw using 2 cycle mix is very dangerous as it is an explosion hazard just waiting to happen.

If you wish to use mineral spirits or kerosene I think an electric fuel pump should be able to handle it as are designed fuels. Just note I haven't tried it.

Either way if you are using dip soaking you still the cleaning fluid to be circulating and filtered. Just makes cleaning faster.