though I should remind you that ever since Episode I, the Dark Side of the Force has been interfering with the ability of the Jedi to sense what is really happening.
They shouldn't need the Force - it would be simple logic, that non-Force-users would be able to use. If the Separatists aren't really after freedom for their worlds from the Republic, then they are hiding their real goal. What else could they possibly be after? Gee isn't a coincidence that the Dark Side has been so active lately? Put two and two together!
The Jedi are also effective leaders because they have superhuman abilities that benefit those around them. Every soldier in their immediate vicinity gets a defensive bonus.
Jedi abilities would be better used if they were Special Forces types of soldiers, not "generals," who aren't even supposed to be going into direct combat but rather directing war strategy. It would make more sense for the military officer caste to be the generals and the Jedi a flexible organization that gets things done on the ground - whether combat, spying, secret backdoor negotiations or whatever is required.
They also have a special quality of moral credibility (I think?) which means that whatever side they are fighting on is more trusted by various worlds of the Republic, but that's just another reason why they should be combining diplomacy and combat in what they do, rather than relegated to simply military matters. This would also make for a wider variety of story types.
I believe it is up to the Senate to declare war and to dictate when and how to negotiate for peace. The Jedi have to follow orders and prosecute the war as charged by the Senate, as far as I understand it.
There's a point at which good soldiers need to start to question the orders of their superiors.
The best the Jedi could do is try to persuade the Senate or Palps to sue for peace. But we know that is not Palps's plan so he'd never go for it, and some circumstance would inconveniently materialize to persuade enough Senators to keep fighting, as we have seen.
At some point, all these "coincidences" that Palps keeps manufacturing should start to be suspicious. And again, you don't need the Force to see suspicious coincidences right under your nose. As high-level diplomats and negotiators, the Jedi should be the savviest people in the Republic. Maybe they've depended so heavily on using the Force to direct them that they've lost good old fashioned horse sense or never had it to begin with?
This is where Padme could come in - as a non-Force-user, she has no choice but to develop her horse sense. Oddly, it looks like she and Anakin might be converging on the same idea: the Jedi are frakking up the war. I'd like to see the series get back to Padme's story, since she should know be
massively suspicious about the convenient deaths of the Separatist leaders.
the options are not promising: join the Separatists, start a new Republic, or live in exile. The first two options are impractical.
They don't know that the first option is impractical - they have no way of knowing they're the real target of the Seppy movement (because if they knew that, then they'd see the whole truth) - and they could at least get started on the second option, which might be the same thing as the first - start their own Separatist movement and lure the survivors over (telling the corrupt and nasty Trade Federation to stay away).
If they fail, they may end up with the third option by default, but it's better than what they're doing now, namely accomplishing nothing. The Jedi remind me of that adage that "doing the same thing over and over and expecting a different result is the definition of madness."
It would send a powerful message to the Republic if the Jedi just gave up on it. That alone would be worthwhile, assuming the Republic deserves it. The Jedi need to either try to salvage the Republic or abandon it, but fighting the war isn't going to do either.
The one big advantage that the Jedi have over all the other power players - economic, political and military - is their moral stature. They should be more careful how they use that stature, to back allies that truly deserve them. And if no allies in any given fight deserve them, then they can make an important point by staying neutral.
There just seems to be no thought behind what the Jedi are doing, like they're backing the Republic out of inertia. They need some fresh, original thinking. If Anakin realizes he's a good candidate to provide that thinking, then he'd be justified in butting heads with the Jedi Council.