Mass shootings contribute fewer than 1% of US gun homicides as far as I know so any policy based around them should raise serious question marks on that basis alone. Otherwise not to be pedantic but that doesn't lead to mutual exclusivity. If there was another amendment saying "the state must take every measure to prevent mass shootings" then you would end up in a "choose two out of three" scenario but as far as I'm aware there isn't one. Satisfying both the 2nd and 4th amendments at the same time is easy to do, you simply accept a certain level of carnage at the intersection of the two. It might be unpalatable for many but it's hardly impossible.