1. Actually, there is a move to lower the maximum age for the draft in order to encourage you hareidi men to go into the work force. The fact of the matter is that anyone who says that he has no motivation to serve is quietly exempted. non-motivated people make poor soldiers. Some people, of course, have martyr complexes and refuse to go to the induction centers. They want to go to jail and the IDF obliges them.
2. It is well known that many men who claim to be avereichim are either just hanging around or working off the books. Those who are should go into the IDF rabbinate in some form. We stop talmud Torah for any mitzva. Even for things that are not such bg mitvot lie going to chazzanut concerts and tiyulim during ben hazemanim (ten weeks per year – more vacation than most workers get).