Sometimes though it needs revolution and not evolution to change things, and especially where the status quo seems to be justified only by fallacious arguments from authority and tradition: the status quo is undemocratic and anachronistic and in my view the best approach would be to simply bin the HoL and the monarchy, since the positions of the 'Lords Spiritual', the established status of the CofE and the monarchy are all intertwined.
The first step (he said, as Presbyterian, hoping my Presbytery will bar me from sitting in it( would be to abolosh the Act of Settlement, forciing the puppet numpty who wears the golden hat to be an Anglican. - sorry - to pay lip service to being an Anglican. Given the track record of the rabble of Hanover/saxe-Coburg/Windsor, that's a tall order to aspire to.
Why should the head of state be the head of a church, just because a constituent bit of a so-calloed united Kingdom's twit on the throne wanted sex with a younger woman - legally - five centuries ago?
Why should the puppet with the golden hat be head of a church because her ancestor ws an incestuous, drunken German Protestant, rather than an Italian speaking Franco-Scottish drunken Catholic?