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Israeli influence is substantial, but it's fairly focused, and unlike other foreign hostile influence operations it is critical to the Israeli influence operations that they minimally damage US cohesion, power, or influence beyond what is necessary to assure US support and protection for Israel.
They also hate the US because of the governments we do and have supported against popular will (and/or opposed despite popular will) for non-Israel reasons (oil being a big one) in the Islamic world.
Oh, and for directly killing a bunch of them, and torturing others, fairly recently in a series of wars -- including a very large one that was very clearly a war of aggression followed by a poorly managed occupation -- ourselves, not principally motivated by Israeli interests.
Like, if Israel vanished tomorrow, a very large number of the people that hate the US "because of its unconditional support of Israel" would hate the US just as much, even though they would have one fewer thing to cite as to why.
And, foreign issues aside, Israeli influence contributes a lot less to American internal problems than other foreign influence operations do.
We wouldn’t be involved / concerned with NATO unless we valued democracy and freedom for our partners, no?
The argument becomes more interesting when talking about the last 10 years. The US actually does not have a lot of self-interested reasons to keep engaging in the ME as much as they do. Controlling energy and trade is useful, but containing China seems to be the more pressing issue, and binding a lot of ressources in the ME might be dangerous going forward. Either way, it is the center point of the world, so controlling it, or plunging it into chaos, both benefit a power on the margins like the US.