The 68060 still gets warm. It shouldn't burn you like a 68040 though. With a heat sink and fan it barely gets warm which in CPU comparisons means it runs cool. My Rev 6 68060 IS marked with a MC by the way.
The newest SetPatch in AmigaOS 3.9 will load the 68060.library directly so the dummy (small) 68040.library is unnecessary.
There is an alternative 68060.library on Aminet...
http://aminet.net/search?name=mmulib&path[]=util/libs
It is newer and powerful but not as easy to use. Read the docs first. There is an update to the mmu.library in the MuMin V43.10 archive here...
http://evogt.free.fr/amigasoft.html