>>>From all the “sinas chinam” or “it ain’t different in xyz community” it would seem that no one has a good answer to OP’s question.
As the famous comment from the Rav Chaim Volozhiner goes “Questions have answers, answers do not” Meaning that if someone isn’t looking for an actual answer no one can give him one.
If someone is sincerely interested in understanding MO haskafa and how they deal with the questions asked in the OP they can be addressed. If someone isn’t you may as well focus on the sinas chinom and hypocrisy of the implied questions . Things are not so simple that they can be answered in the simplistic manner they are presented. They are like asking Can you be Yeshivish and wear a blue shirt and no hat? Can you be a Satmar Chosid but oppose women shaving their heads? Can you be a baal musser but only learn from musser sources that the musser movement did not stress learning? What was the mesorah that the musser movement used in picking the seforim and some of the concepts it would focus on?