I can actually imagine how the National Enquirer may have been one of the President's most trusted weapons, particularly for keeping Republicans who should know better than to support him from deserting him, or (in some cases, like Cruz), to turn strong opponents into sheepish camp followers. This meme spells it out (though its implication that the shame of it all is only effective against Evangelicals is of course spurious). It amazes me that the Enquirer would put its extortion offer in writing, though.