People seem to have missed the fact that one group of theropod dinosaurs HAVE adapted slowly and are doing quite well in today's environment. Birds
Excelent question Kenobi.
If we could bring back mesozoic dinosaurs, the lower oxygen content of the atmosphere would mostly be a problem for the huge dinosaurs. (bigger than rhinos/elephants). I wouldn't expect medium-small dinos to have any problems on that account.
Animals usually adapt physically to the environment they're born into. As they grow up perhaps they'll breathe deeper and grow deeper lungs/larger lung musculature, than what was normal back in their time.
(Note that this is not evolution, as it's just single individuals adapting in a non-hereditary way. For our hypothetical Jurassic Park dinosaurs to adapt in an evolutionary sense we would need large populations of each species (thousands of individuals) and we would have to create them with individual mutations, so that natural selection has variants to choose between! And as copper and Raptor Lewis says, it would take a very long time)
As for plants, you hit the spot again. Grass for instance is everywhere today, but it seems to have evolved in the Cretaceous, so only the last species of herbivorous dinosaurs should have adaptations for digesting it. Jurassic herbivours 'll probably munch down on it annyhow and get sick.
They'll also need the right stomach bacteria to help them ferment the plants they eat. Perhaps we could help them by transferring bacteria from bowels of cattle or rhinos or such. Or perhaps from ostriches? They are closely related, herbivorous, and have reasonably large guts (in bird standards).
Birds meat is often quite lean. I wonder if carnivorous dinosaurs can handle the large ammounts of fat in, say, a domesticated cow?
Temperatures shouldn't be a problem, as long as the dino-sanctuaries are properly located. Most species would probably prefer a tropical climate.
Dinosaurs living near the poles experienced winter and probably snowfall. They should do well in a temperate climate zone.