...is the University of Oklahoma any more conservative than, say, the University of Kansas in Lawrence (which is pretty liberal city)?
Oh definitely.
The precincts that include OU went about 60% Obama, while those that include KU were more like 75%. I'm really not at all qualified to explain why specifically there's such a difference. One thing I can say is that some of OU's most popular programs relate to the oil and gas industry (geology, petroleum engineering, "energy management"). Lawrence also has more of a "college town" reputation than Norman does, and that has its own pull factors for certain people. I'd imagine KU being more Midwestern has to come into play as well.
All that is to say that (inner) Norman definitely isn't Lawrence, but it's not exactly Stillwater or College Station or the-rest-of-Oklahoma either.