See #26
Yes. The use that I wondered about is "Special Olympics." Another good argument (not sure it plays in the case of Redneck Olympics, but it might) is that the use is non-commercial. The "super-trademark" covers:
... the following items [words, etc.] for the purpose of trade, to induce the sale of any goods or services, or to promote any theatrical exhibition, athletic performance, or competitionIf the Redneck Olympics is a party, then it isn't an exhibition, athletic performance, or competition.