Internationally, numerous leaders and human rights organizations have condemned the U.S. for its continued support of Israel. Biden and other members of his administration including Vice President Kamala Harris and Secretary of State Antony Blinken have said that "far too many" Palestinians have died, and that the way Israel defends itself "matters." They have helped broker hostage-for-prisoner swaps during a fragile week-long truce and urged the allowance of more aid into Gaza.

But the administration officials hold to the position that Israel "has the right to defend itself," which critics see as continuing to give Israel carte blanche in its military operations.

A former Egyptian foreign affairs minister, Nabil Fahmy, said last month that the U.S. is "losing a tremendous amount of credibility in the Arab world."

The "U.S. needs to take a serious look at its role. If it wants to support a stable world order based on rule of law, it has to demand everybody respect international law, whether friend or foe," Fahmy, who served as minister between 2013 and 2014, told CNBC in an interview.

Since Oct. 7, more than 16,200 people have been killed in Gaza, including more than 10,000 women and children, according to Hamas-run health authorities there. Israel declared a siege of the already blockaded territory shortly after the Hamas attacks, cutting off all water, food and fuel to Gaza. Weeks later, the first aid trucks were able to enter the Strip, but the provisions that have made it in so far are woefully inadequate, according to the United Nations.

The situation is also a problem for Biden domestically, Bremmer said.

"At home in the United States this is kind of a no-win situation for Biden, because he's got a majority of Democrats that increasingly are aligned with the Palestinian position, while the Republicans are saying he's too soft on Israel. And so, I mean, he just really wants this war to be over. He really wants it out of the headlines. And of course, that's exactly what's not happening right now."

"In fact, the war on the ground in Gaza is now expanding," Bremmer added. "The impact on Palestinian civilians is increasing, and the proxy war in the region, particularly the Houthis in Yemen, a proxy for Iran are engaging in their most significant attacks on commercial waterway traffic and on U.S. military vessels in the last 24 hours that we've seen since the war started. So this is really a problem from the perspective of the U.S. and this isn't going to get better anytime soon."

The White House did not immediately reply to a CNBC request for comment, but spokesperson that "Israel has the right to defend itself in compliance with international law, including international humanitarian law, especially as Hamas terrorists have said that what happened on October 7th 'will happen again and again and again' until Israel is annihilated."

The northern half of Gaza has been decimated, with Israeli forces now moving their ground offensive into the southern half of the enclave, after 1.1 million residents of the north evacuated south on the Israeli military's orders. Palestinians in Gaza say they have "nowhere to go" to escape the bombings, and the World Health Organization warns that Gaza's health system has collapsed and disease is spreading among the population.

Israel says it is not intentionally targeting civilians and that it gives warnings before it attacks certain areas. Its goals are to eliminate Hamas and its military capabilities and to ensure the return of all the hostages captured by the group during its October attack.