I disagree, I would suggest that the UK currently has a far right government. UKIP, etc have vanished because the racists and xenophobes are having their wishes met by this government.
On what rational policy based grounds are they "far right"? That's just hyperbole.
They are pretty standard centre-right. If you think they are far-right, take a look at the kind of parties that get elected or get double digit % of the votes in Europe.
That is the problem, much of the Centre-left massively exaggerates the things they dislike about British politics and completely ignores what happens in Europe in favour of some imaginary land of milk and honey.
It's basically the centre-left equivalent of the idealised fiction of the Little Englanders, except with self-loathing replacing self-aggrandisement.
The main problem with FPP elections is that people get dissolutioned and don't vote. I live in a constituency that if you put a blue rossette on a donkey it would be elected. Even in Blair's landslide victory, our seat remained true Tory. We never have any 'big names' visiting us during the GE, they only visit marginal seats.
56% voted against the Tories and even if you factor in the likes of the DUP and UKIP there were more voting left of centre than right of centre at the last election,
The support for PR seems to be based on an assumption that it will be good for the centre-left and promote reasonable politics (like the civilised Europeans of course), but a pure PR system (such as Party List) will likely mean:
a) You get more populism, more extremes, more demagoguery, etc. (see Europe for examples). It massively empowers people like Farage (and potentially those even worse)
b) These parties often end up holding the keys to power, and so make more extreme policies more likely to be adopted
c) You empower London even more (London becomes electorally more important than Scotland, Wales and NI combined) and the South East.
d) smaller towns and rural areas become largely insignificant electorally
e) You empower party leaders to force members to toe the line
There are certainly arguments in favour of both systems, but PR likely won't be the panacea you think it will be and it may well make things worse (in terms of creating the kind of political operations that you would like to see).
I certainly don't like the current system and would like to see major reform, but simply changing to PR is very unlikely to lead to significantly better outcomes imo.