Regarding the "doctrine of continuing creation," Franz Rosenzweig in The Star of Redemption
summarizes the classical Jewish (Maimonides) and Christian (Thomas Aquinas) view of normative Islamic theology. It is to this issue that Benedict XVI referred in his Sept. 12, 2006 Regensburg address when he observed that “for Muslim teaching, God is absolutely transcendent. His will is not bound up with any of our categories, even that of rationality.”
Rosenzweig characterizes the Islamic view as "magic" (my translation):
This has been the doctrine of the ruling orthodox philosophy in Islam. The whole impact of divine creative power crashes into every individual thing at every single moment. It is not so much that every thing is “renewed” at every moment; rather, it is “created” with hide and hair. Nothing can save itself from Allah’s frightful, infinitesimally-split providence. The idea of “renewal” of the world [in Christian thought] maintains the connection between the individual thing and the one Creation, and thereby with the unity of existence, precisely because it comprehends it within the whole, and thus grounds Providence within Creation. But this [Islamic] interpretation of Providence as constant interference on the part of the creator destroys any possibility of such a connection. In the first case, Providence seen as the renewal of the act of creation through events is the fulfillment of what essentially is set into Creation; in this [Islamic] case, Providence – despite its intrinsic interference into creation at every moment and in every case – is a permanent competition between acts of creating and the unity of Creation, in fact, a competition between God the Ruler of the World, and God the Creator. It is magic, not a sign made by God the World Ruler for God the Creator. Despite its vehement and haughtily carried-forward idea of the unity of God, Islam slides into a monistic paganism, if one might use that expression; God competes with God at every moment, as if it were the colorfully contending gods of the pagan pantheon rolled into one.
Al-Ghazali remains the benchmark for normative Islam, according to such Muslim scholars as Tariq Ramadan. Again, the issue is not whether God renews Creation, which is Judeo-Christian doctrine as well, but whether He does so directly and immediately at very point in time and in any instance, or through a rational ordering of the Universe which He put in place and to which human reason corresponds.
Man does not live by bread alone, but man needs bread, and gets his bread through the exercise of reason. That may not occur to a country that lives as it were by miracle, that is, by allowing foreign engineers to pump oil out of the ground, such that none of its citizens actually work for a living.