A Kohen was once found protesting the excavation of presumably Jewish remains in the Goloventzitz building project.
When asked how he could be present, in spite of his being a Kohen, forbidden to become impure to the dead, his response was quite simple:
In matters of Hashkafa, I am a student of Rabbi Tuvia Weiss, who opposes the proceedings, so I’m here to protest, but as far as Halacha is concerned, I follow Rabbi Moshe Sternbuch, of course…
Tale overheard.