We will have a 5 hour stopover at Wuhan. Does it make sense to drive into the city? Any suggestions?

You are suggested to stay in the airport, for your stopover is only 5 hours, quite tight. The airport is a bit far away from the downtown, a round trip ride may takes about 2 hours, and you are expected to reach the airport at least 2.5 hours in advance before the departure. So take my advice.