GMs from other systems can either be the best players or the worst players
I would sit this guy down and offer encouragement while pointing out the inherit differences in the systems used by White Wolf and SR. White Wolf is very much a ROLEplayed played game with description and plot/story trumping most everything else. While SR is more of a ROLLplay game.
WhiteWolf likes the macabre, paranoia, dark mystical elements of fantasy/sci-fi and relies a lot on description and theatrical elements. The GM is telling (literally) a story and the players are responding to that story. As such there is more in "talk" less "rolling" in the base rules. (there are still rolls made and rules for how to resolve combat, record damage, etc... But most GM of WoD that I have met gloss over them just like your buddy. It's the story telling that is important to them)
Shadowrun is more dystopian, grunge, fatalistical in atmosphere. The game is centered around the overcoming of challenges. As a GM you are setting the groundwork of a story, that the players change with every success or failure. To help you (and the players) there are many ROLLs that determine the out come of what they do. As well as how well they do it! (which you can use in your description of events to add tension or fluff an ego depending on the ROLL)
Explain the subtle differences to him in the machanics of the game, show him that you are not trying to be hard it mean to him, just that it's a different system with different ways of working out the story. Maybe he will come around.
If not, continue to let him play for a few more game sessions, but let him act LAST in the out of combat elements of the game. Let him observe how and what happens when other players describe what their characters do. (declare actions, determine modifiers, roll for success, describe outcome) eventually he will either come to understand the underlying mechanics if the system or he will fail to show up to the game.