What party?
In the final analysis, Bill Kristol and those in his intellectual orbit (that includes you, George Will) would have far preferred that Hillary Clinton had been elected instead of Donald Trump.
Further, their inclination is not due to any large-scale agreement with Hillary's stated beliefs and political preferences, but rather because
they do not think that such things ultimately matter as much as who gets to make the decisions. Rather, it is far more necessary to those of like mind that America's leadership and governmental offices be managed by a professional class of people, like themselves.
I myself went to school with many of these people, whose commonality is that they uniformly attended the same preparatory academies, the same elite Ivy League and Ivy-level colleges, studying political science, law, international relations, and public administration. They grew up believing, and still believe that they are meant to lead and govern.
These people are the denizens of our governmental elite,
les habitants of the Deep State and they are appalled and embarrassed at the likes of Donald Trump and also of the boobs, hicks, illiterates and nincompoops whose votes put him in office.
It is not helpful to the cause of both conservatism and republican self-government that Donald Trump sometimes acts like a boob and a nincompoop while in office, even while he has generally pursued an agenda that has otherwise assisted the conservative cause. But once again, the Professional Class in Washington, its leftists and right-centrists equally steeped in Progressive ideology, are determined that next time, one of their own will take their rightful place in the White House and in all places where great decisions are made, and which must never (to their mind) be left to the Great Unwashed.