While the UK have some level of representativeness, each circuit has a winner takes it all structure, making change quite hard to achieve on a larger scale.
The alternative is a decision that most people don't agree with.
I'm not saying that that makes the system worse, mind you. I'm not even saying you're wrong that it's a better system. I just think anyone who thinks any one system is the easy, obvious fix to fair and just representational government is either shortsighted, or has different priorities than I do.
If it's important enough or dysfunctional enough a quick decision will be taken. There's clearly deadlock in first past post too, look at the US, if neither party advocates for it at all, it gets nowhere.
Deals and bargaining all happen AFTER a party takes power and completely hidden until a government can't pass their own bills like the Labour attempt to reform welfare.
With proportional representation the deals are made in order to form a government, BEFORE it has power, and are between separate political parties.
Sure there may be agreements that are not all made public, but these are much harder to keep in the "backroom".
2015 we voted for Cameron, ended up with May then Johnson 2019 we voted for Johnson, ended up with Truss(!!) then Sunak(!)
PMs don't drive the agenda. The UK is one of the most corrupt developed countries in the world. The people driving the agenda are billionaire and multi-millionaire donors.
PM is a sales job, not a strategy job, and increasingly ridiculous PMs have been selected because the donors have had enough of liberal democracy as a concept. If it stops working - which it pretty much has - there's going to be less resistance to removing it altogether.
Which is why there's resistance to Digital ID. There's widespread distrust - with reason - of the political establishment right across the divide.
Construct better systems, by all means, but don't just ignore the system that exists.