Firearms that are made to be semi automatic are not built to withstand full auto beatings.
Well, this is just silliness. Generally, a firearm that can handle being fired a lifetime's worth of rounds will handle being fired that number of rounds quickly or slowly. I wouldn't want to trust a gun that would actually be beaten to death because it was fired quickly.
Further, most firearms where this is under discussion (MACs, Uzis, M-16s, AKs, etc.) were originally designed to fire in full-auto mode, and have been very minorly redesigned to be sold as civilian semi-auto copies. So to say that they won't stand up to the type of fire they were designed to handle is illogical. And this doesn't just apply to "assault rifles" or "machine guns." The Glock 18 and Berertta 93R and other machine pistols are substantively the same gun as their more common semi-auto cousins -- and they hold up just fine firing at quite startlingly high rates of fire.
Even further, modern competitive shooters often push their handguns to cycle at rates approaching those of some of the slower firing sub machine guns, with the added stress of operating the fire control group for each shot (instead of simply holding the trigger back).
So...what is it about a quality firearm that can't handle firing rapidly?
Anyway, agreed that there is is no way to take the OP's gun and alter it to fire full-auto, legally. But, if the OP has the funds to afford the ammo to play with that kind of thing, the $3-3500 to purchase one on the up-&-up is no big deal.
-Sam