Any decent History Prof. could have explained to the U's that openly taking one side in long-term cultural wars was not a viable long-term strategy.
(Or, maybe that's why so many universities cut their History Dept's so brutally? Though "just shoot inconvenient messengers" is also not a viable long-term strategy.)
If you look at the people on the actual political left in the US (Bernie, AOC, etc) are they talking about identity politics? Last time I checked they were talking about the problems that impact non-billionaire Americans: Healthcare, Social Security, Raising Minimum Wage, and other efforts to improve quality of life for Americans.
The only times I ever hear about identity politics is when I listen to conservatives describe what people on the left are talking about.
Worker vs Employer aren't actually 2 groups of people, unless you really consider corporations as people.
Every company has a board of directors who are natural persons, and ownership eventually is traceable back to natural persons, and their officers are natural persons. Grouping people up doesn't make them unpersons.
Worker and employer not your preferred languahe? Call it worker and manager, worker and executive, worker and CEO. Whatever you want. But the sentiment is very real. It is about treating the workplace as an antagonistic, conflict-driven, zero-sum environment. If I win, you lose. If you win, I lose.
I don't think that is how real workplaces actually work. I like my employer and I like my boss. Without them, I'd be out if a job. Without me, they'd be out of a worker. I don't think we have opposing interests at all.
It is definitely identity politics. It is the original identity politics: Marxism. The proletariat against the bourgeoisie and all that rubbish.