As for moving it front and rear, the cable you need for power to run that winch off the rear end is gonna be some bucks!! The current draw is gotta be huge, without checking speqs I would guess somewhere in the 40-50amp range? You are gonna need 00 or bigger from front to rear, and a breaker just in case. Thats not gonna be cheap. Go for it!! I saved my hot tub power line just for that reason, IIRC its 3 wire 8ga conductor in a chemical resistant sheathing. Just wire all three together, and voila, a decent rear winch mount power line. I eventually gave up on the idea, too much work, and I carry a come-along if a strap won't do.
But I wouldn't even think about mounting it on that push bar. That thing can't be thicker than 12ga steel if that, and it will just fold on itself. Then you are out the bar, if you can even replace that...