You can - if the vote is held 3mo from now! The Tories are - in my view - better thinkers and strategisers. The idea that people could join en masse and change their party is unthinkable to them. Labour OTOH are pretty short-sighted as the Momentum business showed.
I found this, which is the kind of thinking I doubt most/many Tories would be on board with:
Abolish our unelected Lords, says minister.
https://www.thetimes.co.uk/article/b8bca33e-bb0f-11eb-8a71-bc144e6a30f1?shareToken=5da1362dd7986e04e1449c9daa541b699_
"Mordaunt and her co-author, Chris Lewis, describe the Commons and Lords as bastions of “anachronism” and “pomposity” and call for wholesale reform of the procedures that make them remote from voters. “What kind of democracy allows the majority of its parliamentarians to be appointed rather than elected?” they ask, pointing out that 14 per cent of the seats are reserved for men.
“As hereditary titles still only pass down the male line, many seats in the upper chamber can only have male bottoms filling them,” the authors write."
But also there's this:
"Mordaunt also demands more ladies’ lavatories in parliament, complaining that there are “queues every time”.
At present, when MPs vote, they are counted by physically walking through a division lobby, a tradition that means each vote takes about 20 minutes."
I'd have been pro the abolition or huge reduction in the Lords too. But frankly I think we'd be in a much worse state as regards women's rights and (even if very slowly) getting somewhere with questioning gender ideology, single sex provision, RSE materials and the medicalisation and sterilisation of gay children without them.
I wonder what TWAW - from the despatch box - Mordaunt now thinks about the toilets? Presumably they can all be unisex and she'd be fine with it?