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This is a completely wrong way to look at the situation there. First of all, was it Saudi Arabia that started the Yemeni Civil War? It was not. It is the war between local fractions, armed forces of Hadi and those of the Houthi movement. Even if the US stops backing and Saudi Arabia pulls out, it will not end the war. Not until underlying causes are addressed.
It does not work like that. Modern-day wars are proxy wars. Saudi Arabia is using Hadi in this proxy war and committing appalling war crimes in the process. Yemen is in the midst of humanitarian disaster. Without our support, Saudi Arabia would not be able to escape the scrutiny of the UN. That would be a chance for the UN to intervene. Saudis want to prolong the war until they have secured a victory.
It is not that easy. Saudi Arabia is our ally in the Middle East, and a bulwark against Iran. Believe you that or not, Saudi Arabia is also a bulwark against Islamic extremism. OK, they sponsor wahhabism, but that is in order to appease extremist fractions at home. Ever since the 1970s, Saudi royal family has been having problems with extremists, and they are forced to make a concession or too. However, they only support extremist doctrines, but not terrorist groups. At this point, the best thing we can do is to turn a blind eye to it.