Steve Hays has argued against my claim that determinism is an unnatural belief by appealing to a poll of professional philosophers. I replied as follows:
You go to professional philosophers to determine whether determinism is a natural belief? People who have had naturalistic determinism pounded into their brains from day one in grad school? You're kidding, aren't you.
Most of these people think there is no libertarian free will, because they think the mind is the brain, and since physical particles can't have libertarian free will, neither can we.
J. P. Moreland has an essay in Philosophy and Theology (1997) entitled "Naturalism and Libertarian Agency" in which he argues, quite successfully in my view, that libertarian agency simply doesn't fit at all well with a naturalistic world view.
The kind of compatibilism most philosophers they espouse is the kind espoused by people like Daniel Dennett in Elbow Room (MIT, 1984). That is, it's compatible with holding people responsible for their actions in a way that is aimed at modifying their behavior. I find out who's responsible for the action so that I can decide whose behavior I need to correct., or reinforce as the case might be. The kind of a free will that might justify eternal punishment is, on Dennett's view, not a variety of free will worth wanting.
The idea that we are, in some absolute sense, guilty before God for the things we have done, and liable to everlasting punishment for such misdeeds even though our actions are determined, ultimately, by divine choice, is a thesis that people like Dennett would find simply horrifying and barbaric.
You have to reconcile determinism with a very strong form of moral responsibility that most secular compatibilists would reject. You might want to try polling those philosophers on whether they accept the idea of retribution, period, much less eternal retribution.
As for Christian philosophers, well, I've seen discussions of foreknowledge and free will in which the Calvinistic alternative was not even considered. It was pretty much the Molinists and some other libertarians against the open theists.
The hoi polloi, as Vytautas would call them (including introductory philosophy students), invariably accept libertarian free will. They have to be exposed either to naturalism or to Calvinism before they will even consider the idea that our actions are all determined.
I think belief in free will comes naturally to us, while soft determinism seems really bizarre when most people first hear about it. I remember explaining it to a chess friend of mine who said "Didn't you just contradict yourself?" Of course, compatibilism might be true for all that. But most compatibilists are compatibilists because they don't want to bail out of moral responsibility, but can't accept libertarianism in virtue of their overall philosophical commitment to naturalism.