Weird, Wikipedia says he’s a Republican but gives no source.
Our campaigns doesn’t list a party for him.
Some discussion site on Houston politics said McConn was a Republican, as was his 1977 opponent, Frank Briscoe, but McConn won because he was to the left of Briscoe and got Dem support in the runoff.
http://www.houstonarchitecture.com/haif/topic/22723-mayor-politics/