One often hears it asserted that most theists are metaphysical libertarians. This seems to be supported, at least in the case of theistic philosophers, by the PhilPapers survey where target faculty specializing in philosophy of religion, who were overwhelmingly more likely to be theists than their peers in other specializations (72.3% for religion specialists vs. 14.6% overall), were also overwhelmingly more likely to be libertarians (57.4% vs. 13.7%). (Unfortunately, there doesn't seem to be a way to compare theists to non-theists across the board, so we just have this correlation among religion specialists.)
Now, I suppose there are some reasons for this. One is that the free-will defense is widely thought to be the best response to the problem of evil, and is widely thought to require libertarianism. Another is that theists are often committed to some notion of punitive justice which is also widely thought to require free will. A third reason is that if God is a necessary being, and libertarianism is not true at least about divine freedom, then we inherit all of Leibniz's difficulties in trying to carve out any contingency in the world at all. Now, it is perfectly possible to be a libertarian about God's freedom and a compatibilist about human freedom. According to some (most?) interpreters, Aquinas adopts this view. On the kind of view in question, libertarian freedom would be the most perfect sort of freedom, and perhaps one might even concede that it's a sort of freedom that we (prideful) human beings often think we have, but one would say that compatibilist freedom is sufficient for moral responsibility and is all that we actually have. Nevertheless, if the theist is committed to saying that God has libertarian freedom, then the theist is committed to saying that libertarian freedom is at least a coherent notion, and it's easy to see why that would be at least correlated with claiming that we actually have libertarian freedom.
On the other hand, I think there are special philosophical reasons for theists to accept compatibilism. Reasons, that is, which are specially philosophical (as opposed to theological or scientific) and also specially applicable to theists. Consider the following argument: