Making an exception for particular classifications of potential draftees is NOT “draft dodging”. The exceptions are for deferments only, and not to exclude forever and for all time, the discharge of the obligation of each individual to come to the defense of the community as a whole.
There are, of course, many people who are, for one reason or another, unfit to serve in active military service. But even those who do not fire weapons have active support roles, and if push comes to shove, every man, woman and child should be prepared to rise in defense to the last person. They are facing an enemy whose whole objective is death before surrender.
Haredim, however, often have their heads screwed on sideways. Not only are many of them totally opposed to Zionism, some of them don’t consider Zionists Jewish, and those adamantly refuse to accept money from the government and serve in the armed forces, and some of them even want to be under the rule of the PA. Sometimes, stupidity is self willed.