"They are the summit of the class structure that holds this country back."

The summit doesn't hold up the mountain, the mountain holds up the summit. Knocking away the tip of the summit doesn't do anything at all to stop the mountain crushing us.

I just can't see the process by which the absence of a Queen or a King would make any contribution at all to hitting the class system and the imbalance of property ownership.

Is it that different in countries without a hereditary monarchy?

If there came into existence a genuine movement towards abolishing inequality, I can imagine that one symbolic way of achieving that might well involve getting rid of the monarchy. Roll on the day.

But I don't think that at this time the fat cats who own us and exploit us would be the least bit inconvenienced by the absence of the Royals. In fact it would probably suit a lot of them down to the ground. It's worth noting that Rupert Murdoch, as unsavoury and powerful a fat cat as you can find, is all for a "republic".

Save up the monarchy until it might mean something to abolish it.