If you want to put some of the blame onto Admiral Bitchaev, I'm all in favor of that. As you've already more than explained, her plan was retarded from the beginning, and sending Picard and Crusher to carry it out was such a bad call that I do truly wonder if she wasn't purposely trying to give them over to the cardies.
So alright, if you want to say what happened to Picard, even the refusing to admit that he was working under Starfleet orders, was also entirely her fault I'll even give that one to you. But that still doesn't change my biggest problem with Jellico.
Bitchaev didn't tell Jellico to completely fuck around with pretty much every aspect of the Enterprise (Jellico is not an engineer, what makes him think he's qualified micromanaging... well anything, let along everything, on a ship he's been on for about 10 minutes total?)
JELLICO: I want you to install a bypass between the main phaser array and the secondary generators. I also want to run the main deflector pathway through the warp power grid and the auxiliary conduits through the lateral relays. You may have to reconfigure the transfer interface.
DATA: Sir, the transfer interface was not designed for that configuration. It will take seven hours to make those changes.
RIKER: Sir, you may not be aware that our normal interface already routes auxiliary power through three separate relays.
JELLICO: I'm aware of your current design system. It's not good enough. If these negotiations fail, we could find ourselves in a war zone and if that happens I want to be loaded for bear.
RIKER: I'll get right on it.
JELLICO: Good. Now these stations should be devoted to damage control and weapons status from now on. See that they're manned at all times.
RIKER: Aye, sir.
It only gets worse when not long after (before his initial changes are completed, and he keeps coming up with more) he decides to arbitrarily transfer staff around to the point where Geordi (who actually does know a thing or two about the Enterprise, you know, because he's the chief engineer) is clearly frustrated that he doesn't have the manpower to carry out Jellico's orders.
https://youtube.com/watch?v=ug03nVQTuo8:220
No matter how you look at it, this level of micro-managing isn't just terrible leadership, it's also absurd. If it's so damn important that the crew enact your arbitrary changes, the least you can do is give them the manpower to carry out your orders. Why the fuck do you even need so much more security? The cardies aren't here yet... And when they do show up, you only let 3 on board anyway.
If you take everything he says throughout the course of the episodes into account, he's clearly taken the lesson of "I need to be the alpha wolf so they respect me," he learned dealing with the cardies the first time to the extreme and decided to apply it towards his own crew in some misguided attempt to show his dominance over them.
If anybody in the crew actually 'hated' Jellico, I missed it. Everybody, even Will, was clearly just trying to keep with his absurdly hands on leadership style, and what a prick he was when you couldn't.
Hell, the reason why Riker and Jellico first came to blows was because Jellico expected Riker to pull an entire new shift out of his ass in a matter of hours. I'll admit I've never had to do that before, but it doesn't seem like it would be as easy to do as Jellico expected.
Now that I think about it, none of the arbitrary changes that Jellico ordered really ended up mattering, did they? The were all just him pissing on his own crew to show that yes, he was the alpha wolf.
Speaking of Jellico's need to be the alpha wolf- Not telling the crew *why* he was going to his ready room instead of directly meeting with Gul Lemec, (preferably far ahead of time) was absurdly stupid. The tactic itself wasn't stupid... against Gul Lemec at least. But once again, he was also exerting dominance against his crew, making Deanna come ask him what the fuck? There was no reason for him to do this, and things could have gone very wrong if they misunderstood and sent Lemec into the ready room by mistake.
And the fact that his plan to mine the cardies ship worked doesn't change the fact that he was a shitty leader. Getting Picard free was the least he could have done, but I will admit he did actually do it so I guess that counts for something. Still a shitty captain though.