Indeed the draft makes it impossible for chareidim to live in anything but poverty.
The army is definitely a risk to a person’s yiddishkeit in general. (True there are many that aren’t effected, but that’s not relevant to the many/more who would be. Nachal Chareidi also hasn’t proven itself.) The army and it’s deeply integrated and zionist culture is not a possibility.
Given that, the fact that people can’t work illegally without serving in said army, or getting a true exemption means the Law forced the current learning-only non-working situation.
Yesh Adit and others made the draft the orimary issue of their governmental term, so the Chareidim have to equally make it their own issue. And that is what their voters want.