In reality, the Charedi world has 2 problems with the proposals:
1. Freedom of choice - Believe it or not, the Charedi leadership loved the fact that you could not work without going to the army. This forced everyone to stay in yeshiva/kollel to avoid the army. The current proposals free people up at a much earlier age which means that many more people will leave the yeshiva/kollel by choice. It also give people much more educational choice, they will be able to actually get a higher secular education.
2. It's all about money. The Charedi world as currently constituted cannot survive without government money (see this post for the details). If the government takes away the money the Charedi world will have no choice but to change and have more people go to work.