Your parents don't want to sell their house. Why? Are they going to take it with them when they go? Of course not, they want to leave a legacy for their children.
However, that money needs to come from somewhere. If the "government" pays for it, it's the rest of us that are paying higher taxes. Of course there is a very strong argument for paying higher taxes anyway, the roads are shit, schools are at breaking point, the NHS is on it's knees, but where does it stop?
I am of a generation where I am unlikely to see a state pension despite having paid my dues (just as your parents have, but they have benefited from it), so I save into a private scheme, otherwise I can't afford retirement (and even then, it's looking dodgy). The older generation benefitted from that. I am of a generation where university was not completely free anymore, so we took out loans, whilst the older generation benefitted from that. I am from a generation where house prices weren't sky-rocketing, but the older generation benefitted from that.
I've worked hard all my life life, my exit strategy is dignitas. I've paid my taxes, I've not benefitted. I'm a good earner, but I've had to rely on me, not the state and being self-employed I still do. There's no safety net for me if my work dries up. No claiming benefit. I have to live off my savings until they are gone.
Why are you and your inheritance so special? Just think yourself lucky you've had parents who have survived onto old age.