Are we at least agreed that Fury Road is feminist? That seems like a no-brainer to me. There's the old women that hedgehobbit notes, and the plot of rescuing an enslaved harem from a crazed dictator.
As for _Into the Spider-Verse_...
And Sweet Christmas, your description of Miles is 100% old stereotypes, and completely unrelated to anything woke. Gwen isn't woke, or even particularly feminist. And Parker is given respect and a character arc. Doc Ock is a gender flip, but so? That's been a trope for decades. They do combine to make for a vague multicultural feel, but it's a multidimensional patchwork, so it's a natural consequence of the core plot -- there's an anime girl with a mecha and a talking pig, after all.
That was my impression. I didn't see* any Woke/neo-Marxist elements in the film. Woke is about hate, not 'let's all work together, we're all equally valuable!'
Saying "woke is about hate" seems close to making the original question tautological -- i.e. if it isn't dreary and hateful, then by definition, it isn't Woke. For example, it seems common to call things "woke" if they're full of touchy-feely coming together of minority, female, and/or LGBT heroes with flowers and participation prizes. It doesn't require hate being shown to call such works "woke". Actually, that description reminds me of the Steven Universe series, which I would call woke.
A theme of "let's all work together, we're all equally valuable" isn't by definition woke - but combined with enough other markers, I think it does contribute to a feel. In "Into the Spider-Verse", Pat notes how there is a multicultural feel - but he calls it a "natural consequence" of the core plot. I see it as the other way around. Having a diverse cast of heroes and multicultural feel was a goal of the film-makers, and the universe-switching was a plot device picked to make that happen.
I think enough markers give a woke feel - like highlighting minority, female, and/or LGBT heroes; a traditional-seeming white male villain; pulling together a diverse community; etc.
Has anyone read the Spider-Gwen comic? I've only read a bit. While I'm not 100%, it seems like it is squarely in the genre of recent Marvel comics that many posters here have been complaining about.