Forgive me Gleb, but you appear to have a very idealistic and somewhat naive view on species reintroduction. In the UK, the current legislation ensures that any (re)introduction is subject to something called an EIA (Environmental Impact Assessment)* which is used to measure what the impacts that the proposed (re)introduction will have on the environment - this doesn't only cover flora and fauna, but also the landscape and the stakeholders involved.
Implying that all farmers are incompetent, ignorant, blood thirsty morons is quite wide of the mark, and suggests a certain amount of prejudice on your part - I have worked (and volunteered) in the environmental sector for over a decade (not long in comparison to many others here), and have found many who are indeed custodians of the countryside, and who are interested in conserving what species they have on their land, and also improving the habitat - admitted I have only met a tiny % of the total farming workforce, so it is difficult for me to form any kind of consensus.
Without getting too political, the current government is very, very unlikely to implement any positive changes which will benefit the environment, indeed it it looking to scrap much of the environmental legislation post-Brexit. The idea that they would fund or even consider a rewilding project is frankly laughable.
As much as I agree with your sentiments regarding rewilding and the introduction of apex predators, there are two major considerations 1) there is little money in conservation as it stands, and there is certainly no money for such landscape-scale projects and 2) there is insufficient unpopulated land with habitat continuity and agreeable landowners to support species such as Bears and Wolves. Lynx could be possible, but again, it would be difficult to undertake a full EIA given the range such species occupy, as well as ensuring that relevant mitigation is implemented.
It would be far better to spend the money on conserving species or habitats for which the UK is internationally important (seabird colonies, heathland, saltmarsh, coastal temperate rainforest etc) rather than pumping money into what is ultimately a vanity project with limited space, and ultimately reduced genetic flow.
*of note, AFAIK the controversial (and in my opinion idiotic) introduction of White Storks at Knepp was licenced without an EIA. I'm unsure of the mechanics of this from NE's perspective, and it is very unlikely that the project would have been given the green light had a competent ecologist had been able to undertake an EIA.