No, I don't think any of those things, but you're the second person to get that out of my post, so I apologize for being unclear. First, see my reply to winterswift above (below?).
I think that by having a two tier system, you end up promoting inequality. Consider American healthcare - from my perspective, it's fantastic, with world class doctors, no wait times and modern machines. Certainly better than my experience in Canada! However, this is a system that serves 20% of the population very very well, at the expense of the rest. I just happen to be in that 20%. And because it works well for that group of people - which includes congressmen, senators, celebrities and chief executives - there's not a huge push to fix it.
The same goes for education. I can more than afford to send my kids to private schools, and honestly, probably will. Small classrooms, modern materials, great teachers. It's a system that I'll be very well served by. Yet the American public education system is largely failing, but this failure does not affect the most powerful people, there's not a huge push to fix it either. Indeed, they benefit from it - their children have a competitive advantage by having fewer people well educated (although I don't claim there's a conspiracy here, just that the value of good education is so much more).
Part of it is that I don't think that money is the main issue - there's a ton of money in the education system, it just goes to the wrong people. And if someone is required to pay money into a system that doesn't affect them, why do they care what the results are and how well the money is spent?
So my only claim is that we should consider that for major public services (health, education, safety), that allowing two tiers can cause major divergences that cause long term negative consequences, and that we should seriously think about this.