This is why Trump was elected. He is a strong leader. He will go tell the Middle East that Israel has the right to exist. Trump has made it clear that he is a friend of Israel. Trump will use his persuasiveness in order to make sure that Palestine does not seek to end Israel's existence.
Trump will not be able to ease decades-old feuds in the mid-east. The turmoil in the mid-east has been going on far longer than decades. Try eons. Why would anyone think that Trump can solve this problem. No one can solve religious disputes. It is a losing battle to never be won.
I don't know what the reasoning of the Israeli Prime minister is. Maybe he thinks Trump is the anti-christ and will bring about the end times. But at any rate, Trump is not going to make things better and this fued has been going on for more than a 1000 years, maybe several thousand, not decades.
Trump has no idea how to run a country and no experience in governing at all. He has zero diplomacy and any foreign policy he gets will come from his team. So you have to look to the team to see what policy will be made. Trump isn't a finesse guy, he's more likely a scorched earth dude.