I think my rabbis would be a little upset by being called "less religious" than Orthodox rabbis, tbh.

Hell, I'm mildly upset, it's just less funny when I phrase it that way.

It's also not quite as simple as you're suggesting, but I'll concede that there are ultra-Orthodox sects who's practices look like you're describing.

I'll grant that more conservative subsets of Judaism are more likely to have certain views of women, but I'd put to you that religious Jews are more likely to be progressive on women's rights than atheists in general, so I don't think it's fair to describe the faith as conservative with regards to women in general.