That portion of the left does mistakenly believe they can "work" with the new right, it is at best naive. I don't like most parts of intersectionality and Black twitter blue check crowd, but they are annoying and not a major threat. Whereas, the "new right" explicitly dislikes liberty as a concept, are pro nationalism, think the state should enforce traditionalist values, are anti-cosmopolitan, and believe neo-mercantilism should be the foundation for international trade. But I don't think this portion of the left is guided by racism, instead, they're guided by the belief that the white working class is needed to undermine the moderate DNC/GOP hegemony. I think this stance is misguided and not worth the potential downside risk of muddying the ideological waters.
Progressives confidence in the "wait till the boomers die, and then we running shyt" stance may be leading them to underestimate the threat of the "new right".