Charlie:
No, he is not bound by his father’s “psak”, for a number of reasons.
Ask your fellow MO, the erudite Sam2, about the few exceptions to Kibbud Av. Certain marriage and learning-related matters are among those.
As well, other than himself and his students, in whose eyes did Rabbi Dr. Soloveitchik qualify as a gadol HaDor? Rav Aharon Kotler, who was a gadol haDor, said some very harsh things about Rabbi Dr. Soloveitchik. Agudah’s rabbanim did not either seem to believe he was a gadol haDor; see, for example, their JO piece upon Rabbi Dr. Soloveitchik’s passing, which can still be found online. It certainly did not say anything of the sort. Other than MO institutions, what Yeshivos include any of his works in their curricula?
As the founder of “MO”, Rabbi Dr. Soloveitchik obviously felt that he needed to found his co-ed day school in Boston. But this doesn’t mean that even he would agree that this was the proper thing to do elsewhere. It also doesn’t mean he would say to do so today when American Jewry has, B”H, advanced far beyond where it was then.
As well, the gedolim of the time did not agree with him on this (among other things). So it is wrong to promote these failed, mistaken and condemned notions of MO.
Finally, the end of your post (before the bracha that you wrote to him) is also ignoring a major flaw of MO, which is the only known Orthodox movement that is mattir issurim (for the sake of modernity).
(The words “be open-minded” usually are code for “look the other way when issurim are committed; it’s okay”.)
So while people of all stripes unfortunately fall prey to the Yetzer HaRa, only in MO (among Orthodox movements) is it accepted to commit certain aveiros. Therefore, one cannot compare the negative effects of living in an MO area to that of living elsewhere.
I would, instead, advise, as Pirkei Avos says, “Asei licha Rav”. It is also very unwise to disregard other maamarei Chazal like “Oy laRasha viOy liShcheino”. (No, I do not mean to imply that MO are, CH”V, rishaim, but the concept of being wary of undue influence still very much applies.)
Finally, while there are indeed a variety of different valid mehalchim in avodas Hashem, that doesn’t mean MO gets to tag along simply because they feel like it. The majority of MO adherents may mean well (the same might be argued of Conservative and Reform as well), but that doesn’t make acceptable the theology of MO.