> segments of the political left finding themselves marginalized by the mainstream left-wing's increasing focus on identity politics over the past 10-15 years.

I can confirm a group like this exists (that describes me) but I can't even remotely make sense of a "woke right" label for it. I don't even consider myself "on the right" at all; I consider that the identity of leftism has been taken from me. Which is fine insofar as I never cared much about identity in the first place; but infuriating in that all of society is seemingly buying into an entirely false narrative of leftism.

> but did so by associating themselves with the left's own caricature of the right

Only for satirical purposes, really. And there are more points of conflict than identity politics or collectivism and economic interventionism (I assume this can reasonably be rounded off to "support for the welfare state"). In particular, climate and energy policy.

> why we're seeing policy positions that increasingly resemble socialist ones being advanced by "conservative" politicians.

It's more that people insist on putting that label on anyone who doesn't play ball with leftist identity politics. Some accept it; I absolutely do not.