You should care for multiple reasons;

1- Everything you mentioned is related.

2- What happens to Palestinians, eventually happens to Americans and Europeans, they're literally used as Guinea pig for surveillance tech for example, and US law enforcement is trained by Israel in shutting down protests/movements. One thing to note is that the covid vaccine was heavily "tested" by Israel, among other sinister human experimentation. So yeah, if you care about Covid, you SHOULD care about what Israel has done, is doing, and will do.

3- The current juncture IS critical; Israeli government officials, including their prime minister, are openly stating genocidal intent. Their actions and the usage of the "Dahiya Doctrine" is more evidence of that. Dismissing it or ignoring it is encouraging more of this behavior world wide.

4- Israel with the help of the US and Western governments, are actively destroying international law, including the intentional blurring of what constitutes a civilian, meaning it's not at all beyond reality that the same kind of mass punishment and destruction can and will be used against internal dissidents citing precedents (not like the US for example doesn't have a looooong history of using violence against dissidents anyway). For example, it's not beyond belief that they wouldn't do something worse than they did in 1985 against the MOVE organization, against say a "MAGA target", on a much wider scale, stating the need to "destroy the terrorist cell".

Remember, the same "laws" drafted for the "War on Terror", have been used against Americans for merely going against the government.

5- This "conflict" absolutely has the potential to expand into another world war, because Israel wants the west to go after Iran and is using the current situation as an excuse. That affects everyone. Meanwhile, both Russia and China have been flexing their muscles in the region as well. You think Gas is expensive now? Just wait until China "encourages" Oil producing countries to sell more of their oil to China than they do to the US and the west.

6- US and Western support for what Israel is doing, is absolutely eroding US and Western image and support around the entire world, especially when the global south compares the hypocrisy in how it dealt with Ukraine vs how it dealt with Palestine (although I argue that they didn't behave differently; In both cases they're supporting the oppressor, Kyiv and Tel Aviv, vs Donbass and Palestine). It's not beyond the scope of belief to assume the long term repercussions against the US wouldn't compound and grow into something that affects all Americans negatively.