DaMoshe:
Perhaps you missed my prior answer to you.
As well, your comparison of Rabbi JB Soloveichik to (really?) Rabbeinu Tam is not valid.
Rabbeinu Tam may have come to a different conclusion than Rashi in various sugyos but NOT by CH”V abandoning the mesorah he had from Rashi. On the other hand, Rabbi JB Soloveichik himself admitted that he was breaking from his Mesorah from his father and grandfather, et al.
There is also the uncomfortable matter (especially for “MO”) of what gedolim held of Rabbi JB Soloveichik (read Agudah’s JO magazine obituary, for starters, and that is also available online) which also makes the comparison to Rabbeinu Tam a complete non-starter.
Right or wrong, if you wish to rely on the Rabbis you quoted against the gedolim that preceded them and also against the gedolim who were their contemporaries, then that’s your business, of course. But that does not create a legitimate mesorah.
Again, there is no legitimate mesorah for “Religious Zionism” (and “MO”, as well, for that matter, though that, too, has already been discussed in other threads).