The yeshiva and seminary are very religious, and in some ways similar to other BT places and in other ways different.
The main difference is the rebbeim/rebbetzins aren’t all the same hashkafa and backgrounds. For example some rebbeim went to Chaim Berlin, Mir, YU, Gush, etc. Some prefer it some don’t. It gives the talmid a varied exposure to yiddishkeit. Torah and derech Eretz have primacy, and more subtle issues like learning or working or the state of Israel or the army have a variety of approaches and each student can find a role model that speaks to the. Their main focus isn’t to teach hashkafa rather teach the tools and skills to be independent Torah learners and not have to rely on English books.
I went to Shapells (darchei Noam) for two years and I didn’t know any of the girls at MRC. The two schools are very separate, both in terms of physical distance and zero mingling. However, since the schools share rebbeim, many shidduchim are made between the schools.
Let me know if you have specific questions.