In short, this is a really bad idea.
the average small warehouse forklift is 4000lb capacity.
that means the actual weight of the forklift is 8000-12,000 lbs
this weight is also concerntrated in 1/3rd the footprint of what a car takes up.
Unless your hauler has a heavy duty deck with 6-12in center crossmembers, you are looking to ruin a good trailer.
The deck of the carhauler is made of 2x8" channel on 16" centers This is by the specs( with the REAL heavy steel beams running lengthwise the length of the trailer about under where the wheel tie down E tracks are) with 3/4" plywood deck, I haven't crawled under and measured but there may be quite a bit more under there. The fella I got it from told me that had them custom ordered and the frames were beefed up, exactly how, i can't remember though
But the drop down ramp is a definite no go for sure because it's only about 2x2 framing with 16" centers and the gaps run lengthwise up the ramp. no problem with a car, but I could tell real quick that a lift wasn;t going up there.
I'm not sure exactly what all the extras were put into the structure on the thing, but the trailer weighs about 3000 pounds more than the base model for that trailer. it was custom ordered for a company that was hauling exotic collector cars and high end sports cars. IT's a 32 ft cargo Mate Qualifier gooseneck
I've seen plenty of freestanding aluminum dock plates that can handle a forklift just fine I figure that has to be some way to get one into this thing. Or maybe if nothing else , get a few lengths of that roller conveyor and rig a live floor to make it easier to winch the heavy stuff in .
I've got one side door large enough to poke pallets in sideways if they arent hanging over, but that only allows me to poke in two across there, and do a little creative arranging if needed ( the winch is mounted high at that point so it doesn't do much good from there )