I think you overplay the role of the cliched 'Islington wine drinker's club'; the vast majority of people in the Labour Party are nothing like that. But even leaving that aside, what is the problem with having a government of people who want to 'do good'? Labour certainly aren't just about the social justice issues that you like to focus on. Like all parties, they have economic policies as well, and out of all the parties, their economic policies most seek to help and look out for working people.
FWIW, I'm not a member of the Labour Party, and have only voted for them twice - in 2017 and 2019 - in the last seven GE's, mostly because I considered them too economically right-wing.
I also think you're overblowing the way they're not 'reading the room'. They're now consistently shown to be being ahead in opinion polls. And before you start, yes I know how flawed OP's are - but they generally get the mood music in generally the right direction. After a small Bozo recovery, the polls are showing a re-widening of the Labour lead (last 2 OP's have Labour with an 11% and 8% lead)
When you look at individual policy areas, the public is dissatisfied with the government handling of almost all issues - and their handling of immigration gets the second biggest dissatisfaction score (15% satisfied; 72% dissatisfied). Obviously there'll be some who think the government is being too soft, but also many who think they're just making a pig's arse of it. Also on Brexit, 56% are dissatisfied to 32% satisfied.
Some very worrying figures for the government here:
There's an increasing sense that the 'anti-woke' element like you are actually a small minority that as an electoral group are not that relevant -but you are very loud, and very active on social media.
On a personal level, I think Embury is an absolute tw*t. His ideas and politics are very closely aligned with the ideas and politics of the 1990's/2000's BNP (seriously, there's so much correlation). He claims to stand up and speak for the working classes (like the BNP did) yet only actually speaks for a minority of them; there isn't a homogenous mass of a single core political beliefs within the working classes.
I actually agree with him about corporate power being harmful to working people, and also decry the rise of globalisation that has seen the transfer of the mass-manufacturing function into 'sweatshop' economies. But that wasn't led or facilitated by the modern Labour Party. And the vast majority of the 'wokerati' would share his [claimed] disdain for corporate power and corporate-led globalisation.
As far as Brexit goes, whether the EU is a force for good or bad (it's a combination of the two, but overall good for the UK) is a separate debate. But what a Tory-led hard-Brexit has done is increase friction for trade that adds red tape and costs to businesses; left us with renegotiated trade deals that are worse for the UK than the ones we had when under the EU umbrella; opened the doors for right-wing, laissez-fair capitalism militants to systematically weaken protections for workers, the environment and consumers; and - most importantly for a significant element of those that drove and funded the whole Brexit movement - keeps the British Overseas Territories and Crown Dependencies out of the investigatory clutches of EU tax and security organisations.
I'm working class. I've spent several years as a union rep, been a victim of corporate c*ntishness on more than one occasion, and consider myself a true leftist. I'm socially liberal, have a family (house, wife, two kids, dog) and that works for me - but I'm happy that other people prefer different arrangements that work for them, and I've no wish to impose my preference on others. Religion can go f*ck itself, and I celebrate that it's become an irrelevancy (but again, if people want to believe in sky-fairies, then I've no wish to stop them). We had loads of strong communities but these were largely destroyed in the 80's by a combination of corporate greed and deliberate Tory/Thatcher policy to destroy solidarity between working peoples and the strength that that gave to trade unions. I'm straight, but recognise that others aren't and I'm delighted that they can now freely live their lives honestly and openly. I have an honest - rather than rose-tinted - opinion of Britain's past, and recognise that terrible atrocities and cruelties were perpetrated in my country's name and for its economic benefit, and want that relayed honestly to people and those that perpetrated these evils not blindly celebrated. And I despise nationalism/patriotism (different sides of the same rancid coin IMO)
Embury (and all others of his ilk) don't speak for me, or reflect anything like my views.
Labour are far from perfect. But they're the best hope for bringing in policies that help rather than penalise working people. And whilst I never voted for Bliar, I can recognise that the NuLabour governments did do some tangible good for working people - like the Minimum Wage, Sure Start, huge investment in schools and hospitals that had been deliberately run-down by successive and vindictive Tory governments, etc.
the 'woke' stuff is a total irrelevance for me.