Should I trade Calvin Johnson to pick up Aaron Rodgers?

Now, before you automatically say no, look at our two teams. I am stacked at RB and WR. My only QB right now is Matt Ryan (who should be fine don't get me wrong--but he's not going to be Aaron Rodgers).

This is a standard scoring ESPN league (start 2 WR, 2 RB, and a 1 WR/RB/TE). I am already starting three RBs (Montee Ball, Gio Bernard, and Andre Ellington). My starting WRs are Calvin Johnson and Keenan Allen and I have Emmanuel Sanders, Michael Floyd, Mike Wallace, and Brandin Cooks riding the bench.

It seems like a shame to not be starting Michael Floyd or Emmanuel Sanders if I can get Aaron Rodgers and keep Matt Ryan as my backup.

As for his team, having Calvin Johnson doesn't actually help him a whole lot. He would give up Aaron Rodgers and be left with Andrew Luck. He actually needs RBs because he only has DeMarco Murray, Rashad Jennings, and Lamar Miller whereas at WR, he has Vincent Jackson, T.Y. Hilton, Golden Tate, Riley Cooper, Markus Wheaton, and James Jones. So getting Calvin Johnson would basically just push Golden Tate out of his FLEX spot and move Andrew Luck to his starting QB.

Best answer will go to whoever makes the best case.