I was listening to my favorite charedi radio station one night on the way home from work, and they were discussing this. The political commentator commented that the government could never do something like this to the Arab or Charedi community, they wouldn't stand for it. The commentator and the host didn't understand why the Dato Leumi population as a whole isn't coming out and protesting.
IMHO, the answer is as follows. The Dati Leumi population is mostly middle class. Middle class people don't make waves or revolutions. Based on this I will explain below the difference between the Charedi population and the Dati Leumi population.
1. The Dati leumi population has been brought up to respect the government, celebrate Yom Haatzmaut, serve in the army, believe in democracy, etc. It is very hard to rebel against all of these things. The Charedi population on the other hand, doesn't really beleive in the government, at best the government is tolerated. The government is looked upon as the enemy who is always trying to take things away. Therefore it is not hard for them to rally against the government.
2. The Dat Leumi population is part of Israeli society. They work in the government, go to public schools, universities, the army, etc. It is hard to rebel aginst a society that you have a large stake in. The Charedi population on the other hand has no stake in society. By choice, they are not part of Israeli society, rather they have their own ghettos.
3. Most people in the Dati Leumi population work and therefore have no time to protest or be arrested. If you have a job which pays your mortgage and supports your family, it is very hard to get arrested and sit in jail and lose your job. How will you feed your family? Pay your mortgage? Middle class people have a lot to lose. The Charedi population on the other hand, has a large group of people sitting and learning in yeshivos and kollelim. If the gedolim say go out and protest, the kollelim and yeshivos close down and people go. If the gedolim said to go get arrested the arrested people would not lose. They would still get their money from their kollel, they would still get their money from the government, the tax breaks etc. Even the working Charedi population is different. Most of those people who work, work in the Charedi community and therefore if they get arrested they wouldn't lose their jobs. They would be supported by a gemachim etc. In short they have much less at stake financially.
To summarize, the middle class does not create revolutions. Revolutions are created by people with a lot of time and little to lose, students and the poor. Students have a lot of time and little to lose, and the poor have a lot of time and are desperate and have little to lose. The middle class has too much to lose. This is the case of the Dati Leumi population in Israel, they have too much to lose and therefore will not really protest and fight against the disengagement.