Not entirely accurate. While Gallup has polling in support of Israel at 46%, only 33% support the Palestinian side of things in that war. So, what that really says is the American public is growing tired of hearing about this war and want it to just go away. At the same time, they aren't buying that the Palestinians are innocent victims.
More Americans express sympathy for the Israelis (46%) than the Palestinians (33%) in the Middle East situation, but the margin has shrunk to a new low.
news.gallup.com
It's also interesting to note that Democrats and the Left tend to support the Palestinians while everybody else tends to support Israel.