The following passages from the 2003-2004 Michigan Hunting & Trapping Guide are the only two that refer to the interference of/with animals in dens, nests, etc....
Under Fur Harvester rules
It is illegal to: Molest or disturb the house, hole, nest, burrow or den of a badger, beaver, mink, muskrat or raccoon, whether occupied or not, or molest or destroy a beaver dam, except under a DNR Wildlife Damage Investigation and Control Permit.
Under Other Hunting rules
It is illegal to: Use snares, traps, cages, nets, pitfalls, deadfalls, spears, drugs, poisons, chemicals, smoke, gas, explosives, ferrets, weasels or mechanical devices other than firearms, bows and arrows or slingshots to take wild birds or animals, except as provided by trapping rules or special permit.