I personally wouldnt let Barney on my jumpseat. I feel it would be a safety issue, seriously. There is NO WAY he could get out the overhead, and would be lucky to be able to fit thru the main cockpit door....and in an emergency if you had to get out and he was unconscious good luck!!!
It's like that (insert college cheerleader of your choice here) joke. How do you get barney into the cockpit? grease the doorframe and put a twinkie on the glareshield.