I certainly hope not. I'm only 20 and I have no children that I know of. I went through the private system (a liberal private school, as it happens, but a substantial number of people turned out conservative, since they were turned off by the PC bs).
I'm also Canadian; specifically, I live in Ontario. Over 15% (and growing) of all secondary students in Ontario are in private schools. Since Catholic schools are subsidized by the government and a few Jewish schools were as well. Homeschooling isn't big here, but because of the poor (and worsening) quality of the public education system, more and more parents are sending their kids to private schools.
It may soon get to the point where everyone who can afford it will. It's a public embarassment and the government tries to hush it up, but people often notice how many private and Catholic schools we have here.
I had the good fortune to be educated in one of the finest public school in Thailand. There is no indoctrination there, only learning. It's sad that to these educators, liberal indoctrination is more important than actual education.