I don't know about Hungary but in 3rd world countries (I am Brazilian) the worst is not that these things happen, it is that voters are too stupid to care.
One example: a couple years ago it was discovered that the president of the Brazilian Senate and Congress had a child with a mistress and a lobbyist office was paying the child support. It was a scandal that made big news. He resigned from the presidency but remained in the Senate. Later on he was reelected as senator and chosen president of senate again, last month. See http://en.wikipedia.org/wiki/Renan_Calheiros