I think a lot of a Jellico's attitude was a put on for the crew. Just like he made a big show for the Cardassians, he was making a show for the crew. He wanted them to think he was there to stay (remember Riker says they usually don't got through the ceremony they did in 10 Forward for a temp transfer), twitchy trigger figured, pissed off son of a bitch. Sews the whole act together so that no one slips at a critical time.
Yeah, Jellico is probably more hard ass than Picard, but what we saw on the Enterprise could have been him exaggerating his personality.