Rav Aviner is a prominent Dati Leumi posek in Eretz Yisrael… He is NOT known as modern orthodox; for example he forbids women from wearing pants (even pajamas) or learning gemara
Could you clarify the difference between Dati Leumi and Modern Orthodox? For example, you mention that he forbids women from wearing pants. Is this in contrast to Rabbi Shachter, who is modern orthodox?