> If there is a part of the population that is radicalized and hate rhetoric is used that will destabilize any society.
I'm going to point at this as an example of a very traditional, very political example unproductive thinking. One of the lessons people refuse to see in politics is that the people who vote for things they don't like might, potentially, be upset about something. There is a lack of reflection on how rational people might have ended up here.
I know nothing about Hungary. But I am quite confident that a happy, well organised society labouring under the grip of sound economic policies tends not to radicalise very easily. People get radicalised when it becomes obvious that politics as usual is not going to work out well for them. There are cases where the cause is lost and there is an intransigent radical group. Usually there is a long lead up to that of a group who is systemically not having their needs met.
It is totally correct that hate leads to win-lose deals. That seems like a very reasonable option to people if the alternative loving approach is a win-lose deal but with the winners and losers reversed.