That's a poorly thought out platitude. Plenty of rights are also choices such as the right to vote, to remain silent, to bear arms, to a trial by jury.
You said "Education isn't a right. It is a choice." By the pragmatics of English, this is reasonably interpreted as "Education isn't a right [because] it is a choice". Pointing out that other rights are choices refutes that. If it wasn't what you were trying to say, you should clarify.
I can tell with certainty that my kids do not have all that much choice when it comes to education. By the time they will be old enough to get that choice, their education will be mostly done thing.
Of all of the countries that are top performing (as rated by NCEE), which have privatized school systems?
http://www.ncee.org/programs-affiliates/center-on-internatio...