While there are very few indications that man and certain extinct dinosaurs coexisted. There are many so-called living fossils that are evidently largely unchanged over the eons of time postulated by Darwinian Theory) most of the evidence in the fossil record points to special creation. It is the nature of fossil formation that evidence for man and dinosaurs being co-mingled in the geologic column would be rare indeed, if not completely absent.
When using the evolutionary time frame we usually separate living organisms into the two categories that you mentioned, e.g. modern or prehistoric. As those who have acknowledged the biblical Flood as the major factor in the creation of the geologic column as well as the fossil record, we would not by apt to buy into the classic evolutionary argument concerning change over time.
Richard Dawkins, the famous outspoken atheist and evolutionary biologist classifies the belief in God as a delusion. His book “The God Delusion” (2006) was an attempt to attack God and those who follow Him. He made his hateful and arrogant feelings known as he described God as, “The God of the Old Testament is arguably the most unpleasant character in all fiction; a vindictive, bloodthirsty ethnic cleanser; a misogynistic, homophobic, racist, infanticidal, genocidal, filicidal, pestilential, megalomaniacal, sadomasochistic, capriciously malevolent bully.”