I dont think it is specific to conservatives. People who define their identity through their political views tend to be like this, regardless of their political views.

I have experienced similiar behaviour with people who identified as leftists, anarchists, feminists as much as with people who identify as conservatives, liberals…

The annoying thing is, that you cannot respectfully disagree with them on anything anymore, because they perceive it as an attack on themselves directly.

So much this. In my country my parents generation could afford buying a house on two middle class incomes when they were end of 20s early 30s. In my generation that is only possible with generational wealth.