I’m going to try to answer that question here. We’ll see how it goes.

Basically the best way to understand the Ahmari-French split is in light of the old fusion, the old consensus, that the First Things manifesto attacked. French is a religious conservative who thinks that the pre-Trump conservative vision still makes sense. He thinks that his Christian faith and his pro-life convictions have a natural home in a basically libertarian coalition, one that wants to limit the federal government’s interventions in the marketplace and expects civil society to flourish once state power is removed. He thinks that believers and nonbelievers, secular liberals and conservative Christians, can coexist under a classical-liberal framework in which disputes are settled by persuasion rather than constant legal skirmishing, or else are left unsettled in a healthy pluralism. He is one of the few remaining conservatives willing to argue that the invasion of Iraq was just and necessary. And he opposes, now as well as yesterday, the bargain that the right struck with Donald Trump.

Ahmari, on the other hand, speaks for cultural conservatives who believe that the old conservative fusion mostly failed their part of the movement — winning victories for tax cutters and business interests while marriage rates declined, birthrates plummeted and religious affiliation waned; and appeasing social conservatives with judges who never actually got around to overturning Roe v. Wade. These conservatives believe that the current version of social liberalism has no interest in truces or pluralism and won’t rest till the last evangelical baker is fined into bankruptcy, the last Catholic hospital or adoption agency is closed by an A.C.L.U. lawsuit. They think that business interests have turned into agents of cultural revolution, making them poor allies for the right, and that the free trade and globalization championed by past Republican presidents has played some role in the dissolution of conservatism’s substrates — the family, the neighborhood, the local civitas. And they have warmed, quickly or slowly, to the politics-is-war style of the current president.

But what, specifically, do these conservatives want, besides a sense of thrill-in-combat that French’s irenic style denies them? I don’t think they are completely certain themselves; in a useful contribution to the Ahmari affair, R.R. Reno, the editor of First Things, describes their animating spirit as a feeling that something else is needed in American society besides just classical-liberal, limited-government commitments, without any certainty about what that something ought to be.

Still, you can see three broad demands at work in their arguments. First, they want social conservatives to exercise more explicit power within the conservative coalition.

This may sound like a strange idea, since, after all, it is social conservatism’s growing political weakness, its cultural retreat, that led the religious right to throw in with a cruel sybarite like Trump. But there’s a plausible argument that even with its broader influence reduced, religious conservatism should still wield more power than it does in Republican politics — that it outsources too much policy thinking to other factions, that it goes along with legislation written for business interests so long as the promised judicial appointments are dangled at the end, and that it generally acts like a junior partner even though it delivers far more votes.