Not to be a doomer but I work in the city with normie libs and can assure you that they believe everything the mainstream media tells them to believe - UNLESS some left-wing source "fact checks" a particular story and the fact gets changed. They will even claim to not trust news reports (understanding the Gel-Mann Effect) but go right back to treating WaPo as their god. It's funny because there's no consistency, like they were all against Big Pharma and now they love them. Despite not using Twitter they will tell you that Elon has brought hate and antisemitism to the platform, and it's too toxic for normal people to go there now. They don't necessarily think he's an "antisemite" but they think he's a stupid tech bro who makes selfish decisions that affect others without considering the consequences, exemplary of the sin of excess Capitalism.

Whether these normie libs support Israel or Palestine depends on how many Jews or Arabs are in their circle, and they usually don't discuss the topic at all because they are afraid to offend either side. It feels totally different from Ukraine where you had to pick a side. So it's hard to know what any of them really believe there.