1: Definitely the Chareidim’s.
2: Yeah it does, because they’ll just take us up on our offer, and then proceed to do whatever they were going to do anyways. It’s never smart to give ammo to your enemy.
1: I wouldn’t be so quick not to place blame on the other side. We quickly forget all of the anti-Torah laws that were passed (the most famous one being the autopsy law). There is a lot of bad blood from both sides.
2: The offer would (obviously) be conditioned on not enforcing the draft. Then it would be “constitutionalized” (requiring 2/3 majority of the MKs & a referendum to overturn).