In Germany some homeschoolers definitly do due to their beliefs. Just two examples: Darwin and sexual education.
In fact, how do you know that the government IS allowing right to free information???
Because in our private schools i.e. it is not the gouvernment that is teaching. The gouvernment just gives a target specification what has to be learned to a certain age and the gouvernment gives the written examination tests for the high school graduations. I have my sons in a private catholic school i.e.. The gouvernment does not mix into our internal school affairs, but the school had to undergo a quality test of the gouvernment. I.e. to meet the requirements the teachers must have studied. Such things are important.
I do not believe that any gouvernment tells solely the truth or is infallible. Nevertheless I am convinced that our politicians and justice are standing in for a good cause in this case.
Darwin? His ideas are universal joke.
Sexual education? You mean the thing that has driven up the instance of venereal diseases (for example, so that most young women have contracted vaginal warts - warts that are the only known cause of cervical cancer) and abortion ?
I have spent nine years living in Germany as an adult, and I have observed that Germans are sheep - their culture is all about conforming. Nails that stick up are pounded down mercilessly. It starts in grade school and never stops.
Given all this, its hard to take what you say seriously.