This claim requires ignoring virtually the entire geological and paleontological record:

The K-Pg extinction event (~66 Mya): The Chicxulub asteroid impact is supported by a global iridium anomaly layer, shocked quartz, tsunami deposits, and the 180-km impact crater in the Yucatán Peninsula. Above this layer, no non-avian dinosaur fossils have ever been found — anywhere on Earth.

The gap between dinosaurs and humans: Non-avian dinosaurs disappeared 66 million years before the earliest Homo sapiens fossils (~300,000 years ago). The gap is approximately 65.7 million years.

“Living dinosaurs” claims: Hovind references legends like Mokele-mbembe (a supposed sauropod in the Congo) as evidence. No expedition has produced physical evidence — no bones, no tissue, no verified photographs. Cryptozoological claims do not constitute scientific evidence.

The “physical evidence” Hovind cites has been debunked: The Ica Stones of Peru — carved stones depicting humans with dinosaurs — were exposed as forgeries. The farmer who supplied them, Basilio Uschuya, admitted in a 1977 BBC documentary to carving them himself using a dentist’s drill, baking them in cow dung to fake a patina, and drawing the designs from comic books and textbooks.

The Paluxy River “human tracks” in Texas — long cited alongside dinosaur prints as proof of coexistence — were investigated thoroughly by researcher Glen Kuban in the 1980s. The supposed human prints were elongated metatarsal dinosaur tracks, erosion features, or carvings. Even Answers in Genesis, a leading creationist organization, now advises against using the Paluxy tracks as evidence.

Birds are dinosaurs: Modern birds are the living descendants of theropod dinosaurs. In a sense, dinosaurs do live among us — but as sparrows and eagles, not as the creatures Hovind imagines on Noah’s ark.