I voted Beathard. He has the stronger arm and can stretch the field in ways Jake can't. For this offense to be effective, they have to have opposing defenses respect both the run and the pass. With CJ in there, they will have to account for the intermediate throws and deep ball at some point in time. That helps open up the running game which has not been spectacular this year due to our offensive schemes (also nicks and bumps with our tailbacks) and opposing defenses not having to worry about the deep ball.
But, I don't think it is a run-way based off of today's performance by CJ. He got better as the game went along and he deserves to start and play unless be becomes to mistake prone. He does have things he needs to continue to improve upon (such as not eating sacks), but that can come with time and he will not get that if he is sitting on the bench. I liked how he made plays with his feet and started throwing balls away instead of forcing things when they were not there. He also did not always look for the big play (made some smart check down throws), but still threw the deep ball late in the game.
But Jake should still be on standby, because this is college football and you never know week to week sometimes. And, I think Ferentz still thinks very highly of Jake and his style of play suits him better. My guess would be if Jake is healthy and does well in practice, he will get the nod in Kirk's mind.
But, sadly, sometimes with our offensive play calling, it does not really seem to matter who is under center.