The reason why the neoliberal Dems seem to have fully leaned into the "woke CIA" nonsense is because what the CIA (and probably also MI6) does to social movements abroad (turning potential revolutions into counterrevolutions and "color revolutions") is the same thing Democrats do to social movements domestically, infiltrating them and robbing them of any revolutionary potential. At this point it's almost literally the same people in charge of both (Soros, Buttigieg, Obama, just to name a couple).
The 'woke CIA' goes back at least as far as the 1960s and the way they co-opted the counter culture. You've got major left (liberal) figures from that time talking in retrospect about how groovy the CIA seemed compared to the stuffy old white guy of 'The Man' in the form of politicians and law enforcement.
I'd offer links and effort post shit but it's late here and I'm tipsy and tired.