[jlogajan]

Can the universe operate according to material laws and by God's direction at the same time?

I'm telling you what we observe -- we observe consistency to the laws of phyics. Violations of physical laws are very disconcerting -- in fact they aren't known to happen, except as theories have been updated. There are no know cases of violation of conservation of momentum, for instance. This is from the largest galaxy super clusters to the smallest subatomic particle.

Science is systematized observation of reality and model formation test against observation. Our observations continue to show that reality follows particular laws without fail -- physical laws, chemical laws, etc.

If there is divine intervention, it is through these familiar forms. Hence, through the process of evolution and not just spontaneous creation of species out of the nothingness. There is no evidence for that, but there is plenty of evidence for an evolutionary emergence.

[That Subliminal Kid]

Why would there be evidence in a physical reality for a being which doesn't exist within that reality? It seems rather foolish to ask for "evidence of God" when the evidence you seek cannot possibly be had due to the nature of God, and the criterion we both would have for said evidence. You think seem to think that this lack of evidence is actually evidence for something else. Your reasoning is truly dizzying!