There absolutely are conservative intellectuals, they just don't tend to endorse MAGA.
Here's a great example: https://scholars-stage.org/ Knocks it out of the park all the time. Then again, he rarely spends his time talking directly about culture war topics.
It regretfully doesn't matter how intellectual they are if the two-party system forces them to let their anti-intellectual minorities run the party. Once a governing body decides that keeping power away from "the other team" is more important than their principles, they cease to have the merit of those principles. Middle of the road negotiation simply ceases to exist. Either you have an overwhelming majority and don't need the other party's consent, or you have a narrow majority and policy making gets held hostage by the most belligerent minority faction within the party. When that belligerent faction is anti-intellectual, the result is the current shitshow.
Since American politics are right-leaning on the Overton window, that makes both parties more susceptible to getting kneecapped by their most right-leaning belligerents when they hold a narrow majority. A narrow Republican majority gets kneecapped by the Freedom Caucus, and a narrow Democrat majority gets kneecapped by the likes of Sinema and Manchin.
You… know it's possible to be a conservative without being a Republican, right?
If you want to say there are no politically relevant conservative intellectuals, that I would agree with. the Republican party is currently dominated by grifters, so anyone involved is going to be doing a lot of shoddy post-hoc justifications. But to say that being conservative of any stripe bars one from actually thinking deeply and critically is narrow minded.