If the media has a pro-Israel bias it isn't massive, at least outside Fox News. I've seen decent coverage of various atrocities in Gaza on CNN, for example.
I hope its clear I was being sarcastic. Your earlier comment is suspiciously vague about who it is that is holding so much power to steer U.S policy. You seem to suggest that there's this unknown force in U.S politics that does what Israel wants it to do, which sounds conspiratorial to me.
Jewish people certainly punch above their weight when it comes to billionaires and political influence but I suspect most of the "mass" of it is white American evangelical beliefs. Even my own fairly moderate family's response to the conflict is "God gave the Jews that land, they can do whatever they want on it". Downright spooky.
Palestinians in the U.S also punch way above their weight, they are a fraction of the U.S population but have around 2 billion fellow Muslims around the world, some with very deep pockets, to help promote their agenda. They are also a much more political and cohesive group than Jews, Jews aren't that uniform in their political inclinations. Many Jews don't want to get involved at all and ideologically Jews are quite heterogenous.