The general problem is that if you try to satirise something you hate, you almost always just end up ridiculing it instead. Which may appeal to people who agree with you, but to others just looks nasty.
(The thing about someone like Cohen- not really my cup of tea, but still- is that he'll give bad people rope to hang themselves with satire wise, but in the end the vast majority of the time they make themselves look bad- and you get the occasional person who comes out of it looking like an absolute legend. It's also the difference between something like Airplane! where the writers clearly loved disaster movies for all their faults and the majority of movie 'satires' whose purpose just seems to be to hate on everything they're satirising)