I could care less if private companies or private schools have tenure. They do not confiscate my money to operate.
Once again, do you think it is right for government schools that we are supporting with out taxes, to grant tenure to government teachers, which essentially gives them a jobs for life if they desire? You think this is OK?
In fact, private universities do confiscate your money to operate. Most good private schools charge outrageously high tuition ($30-40K per year is not uncommon), which few students could afford, unless they were heavily subsidized by government student aid (Pell grants, etc) or government guarantteed student loans. So you're paying for the private school too.