We are not "rich" and we sent our six kids to private school. I got to know most of the parents at the private school, and none of them were "rich", either. So much for that ignorant stereotype.
Private schools will continue to outshine public schools even if vouchers are implemented. Private schools only need admit as many students as they wish to handle. They will also continue to have discipline, unlike public schools. Private school teachers are usually paid less than their public counterparts. Private schools have very little administrative costs, and the cost per student per year is about 1/3rd what the public schools cost. Some public schools will survive and improve their product under a voucher system. Others will go under, and good riddance to them.
I'm not sure where you live but there are some pretty elite private schools around here. They enjoy a well deserved excellent reputation. There's no need to be insulting.
And maybe because "they need only admit as many students as they wish to handle"-their reputations will continue to be wonderful. You answered my question, thanks.