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For example, in politics one sees Obummer, John Boner, Mittens R-money

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    Depends on what you mean by "twisting". Boycott and Lynch are still the same names, spelled and pronounced the same way (though without capitals), even though they're pejoratives. The ones you cite are pretty dumb, and don't really need a special name, since each one is unhappy in its own unique way, like unhappy families. – John Lawler Jun 3 '13 at 16:20
  • The word parody might be applicable. – J.R. Jun 3 '13 at 16:34