Many secularized Jews such as Kristol don’t realize that the standard Holy Bible contains the Hebrew Bible as well as the Christian stuff.
The point is, Kristol is not a conservative. If you support his wars, he’ll say good things about you no matter how liberal you are on govt policy.
If you oppose his wars, he’ll despise you , regardless of if you’re a conservative Republican. That’s why he hates Trump.
For Kristol it was always about the wars. The “conservatism” was just a guise