Actually the Army doesnt want the Charedim to serve, theyd rather not have them.
But there is a solution I think agrees with everyone , Someone said make it a positive to join, how about make it a negative not to serve.
The Charedi Gedoilim have said its a Shaas Shmad not to serve, but they didnt say the government had to give Benefits. Simple only give social benefits to those who serve. The charedi population is poor, they need those benefits or they will starve.