They absolutely do; this is my local DSA chapter. Every rally of theirs I've ever seen looks exactly like this. And the racist incident in the article (and that's exactly what it was) is tame compared to the shit I've seen them spew about PoC at such rallies.
That's exactly why socialists don't fit as democrats and why they don't represent the overall left in this country; PoC, especially women, are the Democratic base. Social justice isn't just a slogan for us, it's shit that actually affects us. From our bodily autonomy to our pay checks.
For DSA and socialists in general, white men are their base; same demographic the Republican party represents. The carries over with it white male identity politics which are incompatible with left wing ideals. A rejection of "identity politics" for minorities, vast support for gun proliferation, economics that primarily benefit affluent upper middle class people, and a disdain for immigrants for "encroaching on native wages and job prospects".
Just as "white feminism" is critiscized for focusing on benefiting and representing affluent cis white women, often to the detriment of every other woman, so to should DSA and co for their own racism issues.