In President Trump's quest for peace (and prizes) he faces a different problem in Ukraine than he faces in Israel.
In Israel he is essentially offering them unconditional support. Israel certainly wantes a peaceful settlement in Gaza and is willing to go along with whatever Trump wants. But additionally, Israel wants to keep Iran from being an existential threat... even if that means escallating war, killing and destruction. Israel has been holding back. It has the absolute intention of destroying Iran's capability for producing nuclear weapons which are truly an existential threat to Israel.
Israel fears this threat more than it fears any possible threat from Hezbollah, Hamas, the Palestinians, the International Court of Justice, or the United Nations.
Once all remaining hostages are released by Hamas.. Israel will attack, and attack, anc continue to attack Iran until its nuclear weapons program is eliminated. The United States under Trump will be unwilling to prevent this from happening and the US will continue to proved air defense help.
Peace in the Middle East is no closer now, than it was four years ago..
In the Ukraine, the issue is different. The United States provides most of Ukraine's sophisticated weaponry and will (of course) threaten to suspend its support unless President Zelensky goes along with any Trump peace plan that calls for Ukraine to relinquish soverignty over any lands that it considers part of Ukraine and that are occupied by Russian forces. Any agreement between Trump and Putin will call for this. Ain't gonna happen.
Knowing that Ukraine forces may not receive any additional military hardware from the United States, Zelensky will feel free to unleash the existing F16s, HIMARS sysems and tanks as offensive weapons targeting cities and infrastructure inside of Russia... including Moscow.
IMHO, any agreement between Trump and Putin that does not include the absolute consent of Zelensky will escalate the war. not stop it. Russia will retaliate with its overwhelming strategic forces and may carry it to NATO nations. It will not bring peace to the region without Russia completely destroying Kiev as it did Berlin in 1945.