How should we view the alleged fights between Gedolei Torah? for example, Rav Shach seems to have gone quite strongly against the Lubavitcher Rebbe. Are there students of the Gedolei who just like to put wood in the fire in those issues?

Listen, when it comes to disputes between Gedolei Torah like Rav Shach and the Lubavitcher Rebbe, we need to understand something fundamental: these are giants fighting battles of Torah that are way above our pay grade. These were two tzaddikim, two enormous Torah scholars. Rav Shach said what he said, the Lubavitcher Rebbe said what he said - they're dealing with it in Shamayim between them. It's not our business. When Gedolei Yisrael have a machloket, it's always for the sake of Torah, not personal. They're fighting to protect the Torah, to magnify the Torah. Sometimes Hakadosh Baruch Hu is laughing in Shamayim saying "look at my sons, I love them both" - one is fighting on this side, one is fighting on that side. These and these are words of the living God. As long as they're using the fundamentals of Torah, both can be right in their own way. But the point is, they have the tools and the level to engage in such disputes. We don't. The real problem is with the students. The students are the ones who cause the damage. Why? Because they take it too far. They think that because their rabbi is allowed to say sharp things about another chacham for the sake of Torah, that they can do the same. But you're not allowed. Your rabbi is doing it for a specific reason, in a specific way, with the proper tools and knowledge. You don't even know what those tools are. When students get involved, they turn it into something personal. They start insulting the other side, degrading them, mocking them. Some foolish Chabadniks, who didn't understand what a battle between two giants really means, threw their hat into the argument with Rav Shach. When he died, these fools even celebrated his death. This is disgusting behavior that shows they completely missed the point. The Lubavitcher Rebbe himself would be suffering because of this - people turned him into an idol instead of following what he actually taught. If there are big rabbis that have a machloket, we don't get involved. We don't get in the middle. We don't take one side over the other. There are two tzaddikim. A person needs to be very careful with the words that come out of their mouth, especially when it comes to Chachamim. If you're careful, you'll free yourself from a lot of problems that come to people who aren't. I've seen people who poke holes in pictures of gedolim or speak against them - the consequences are immediate and severe. When you disrespect a talmid chacham, there's no cure for your ailment when Hakadosh Baruch Hu decides to punish. The students need to stay out of these battles and focus on learning Torah, doing teshuva, and serving Hashem. That's our job - not to be cheerleaders in fights between giants.