Sure it will run it. Your 825 has two circuits for accesories, one in back right side of engine, one in front ahead of operator, each with a double female 1/4" spade electrical connector, with black and red wires. These circuits are fused at 40 amps each, in the small fuse panel ahead of your knees. Unless you have added a winch, which has used the front one already. If you have added signal lights, the accesory connector can have a "Y" added to make connection simple. The dealer has this "Y" part.
Seems like a waste though, since you already have so much heat available in the radiator.
I will take a look at my 825 and see what it will take. I was about to make doors for it anyway, so my next step would be a small heater I suppose. I once made a sweet little heater for an ultralight plane that used engine coolant to produce heat in the cabin. The space was really small, and the weight had to be very light, and the budget was small, so all used parts. The gator is kinda the opposite (has space, can tolerate more weight, and I am not as broke these days). If I get something going I will start a new thread with at least sources and pics, maybe offer simple plans or parts, who knows. Hang in there, dress warm.