Not over everything. And the system is democratic, but it does decide against the UK vote more frequently than most other countries. In that sense you can claim that the EU does not represent the UK very well.
HoL can't stop legislation, only delay it, and by convention they never delay manifesto pledges.
If the HoL stopped being anything more than a handbrake on laws it'd be abolished too. And as for the monarchy, well, nobody cares whilst the Queen is so disciplined about staying out of politics. If she dies and is replaced by Charles, and he doesn't change his ways, expect a constitutional change soon after.