Columbia used to be predominantly jewish. Likely it still is but in the last decade or so it could easily have become more multicult—in line with the liberal shift away from all things jewish.
In my time it has always been Left. I covered the Columbia riots in ‘68 for Fordham’s WFUV.FM. Cops wouldn’t let me on campus, station had only one NYPD Press Card and it was at some other location. But I interviewed a lot of students, Columbia and others. The supposed cause was a new gum Columbia wanted to build off campus in Harlem which would displace couple dozen families. But the reality was the SDS and the goal of Revolution. So this is nothing new.
As an alumnus of Columbia, I can say categorically that you are mistaken about predominance of Jews at Columbia. Yes, like just about any New York area school, there is a significant representation of Jews but no where near predominant. NYU might be closer, but I don’t know.