According to a recent poll by PEW(PDF) Millennials, specifically those under 30, blame Israel for the current conflict more than they blame Hamas. Note, that's not Palestinians, it Hamas. Only about 21% of those polled blamed Hamas vs. 29% who blamed Israel.
The other interesting aspect of the poll is that fully half didn't know who to blame, which tracks with past polls where support for Israel has dropped but there was not a commensurate rise in support for Palestinians.
An article in Salon explores some of the reasons for the drop in support that include the massively mismatched military might of the two groups as well as the historical distance of both the founding of the state of Israel and the holocaust.
First, Americans are used to having Israel and the issue of the Palestinians framed by two heretofore closely intertwined narratives: that of the Holocaust and that of the founding of the state of Israel. The terrible reality of the Holocaust, and the moral and ethical imperative that the world never let such a catastrophe occur again, has obscured the narrative of the gradual dispossession of the Palestinian people that began around the time of the First World War and ended with the expulsion of some 700,000 Palestinians during the Nakba of 1948. The illegal occupation of the West Bank and Gaza after the 1967 war and the continued colonial projects of the settlements are also framed within a narrative of Holocaust prevention, not of colonization and apartheid.
Not only is it the historical distance of the holocaust that plays a role, but the continued warnings from the right in Israel, among others, that
there is a new holocaust brewing.
Not covered in the article is the fact that Millennials also have a more positive view of Muslims in general than older cohorts.
Christian groups and Jews receive higher ratings from older Americans (those ages 65 and older) than from younger Americans. By contrast, other non-Christian groups receive their highest ratings from younger Americans. Adults under the age of 30, for instance, give Muslims a neutral rating of 49, on average, whereas older adults give Muslims significantly more negative ratings (42 among those ages 30-49, 36 on average among those 50-64, and 32 among those 65 and older).
What this means for the future of Israeli-American relations, and the conflict between Israel and Palestinians is an important question. Given the nearly unanimous support of Israel by both Republicans and Democrats, with Keith Ellison being the only exception, this means that the Democrats have a long way to go before their voting record matches the beliefs of the younger generation. One of the things that I haven't found is a poll on support for Palestinians in general, as opposed to this recent poll on the current conflict. I would expect that support for Palestinians would be slightly higher than those who blame Israel for the current conflict.