Torah, that is mainly true, but in recent years, even YU has slid to the right a little bit. I was in their beis midrash a few months ago, and I saw quite a few black hats and chareidi-looking maggidei shiur. So while you are right for now, it seems like as a whole the frum world is movimg to the right, because of chareidi influence, kids flipping out in their year in Israel, and a lot of other issues.
Most modern orthodox schools have chareidi rebbes and teachers, while the reverse case almost never happens.