1. Massively increase the size of congress. Modern technology makes this feasible in a way that it wasn't when the size was capped. More congress critters means it's harder to buy off a majority of them.
2. Re-write the first amendment to significantly limit political speech. The specifics of this are obviously very thorny, but reversing Citizens United and drastically limiting the amount of money that is spent on elections is necessary to have _any_ chance of saving the country.