The establishment (does this mean our institutions?) is overwhelmingly left leaning, the rapid spread of trans ideology is an example of this to my mind, it wouldn’t have happened without the establishment being sympathetic to “woke” ideas, our police, our judiciary, our schools, the NHS etc. The expansion of immigration can be either right wing (keep labour costs down with flexible labour markets) or left wing (anti-racism, asylum etc).
This is a vast over-simplification. To be fair there is a left-leaning subset of the establishment: institutions like the BBC and part of the media, the NHS and parts of the civil service tend to have a slight left bias (not a hard left one). These are largely institutions which are backed by or supported by government. The "woke" thing and the spread of trans ideology is a recent phenomenon but a) it's been overstated and b) it's very much in retreat now anyway.
But you can't say with a straight face that the whole of the British establishment is left-leaning. For most of the past 100 years of our history the UK has been led by the Conservative Party. Despite the recent flap about "woke" the police are institutionally right of centre and always have been. The judiciary are not left wing by any stretch.
The vast majority of large businesses in the UK are headed by privately educated white men, as are the financial ecosystems that support them. Privately educated white men are still far better off and are far more likely to in positions of power than women or people of colour.
Reform supporters are not members of the establishment, for the most part they are on the lower rungs of the demographic ladder, lower paid and poorly educated. But Farage, Tice and the rest of them are absolutely classic members of the establishment.
Which is why its so galling that the supporters are being cynically exploited by posh, privately educated millionaires talking about "sticking it to the man".