Why not? Why should anyone be forced - at the point of the government's proverbial gun - into financing a one-size fits all plan one may not want?
So if people don't want to save their money, they should be forced to? What else do you think the government should force people to do for their own good?
Great. So, your argument goes "I was a satyromaniac alcoholic and didn't save money. So everyone else should be forced to save money!" Sounds sensible. 
Why would we be stuck with any bill? Why should the government support anyone?
QFT.
I know you're a smart poster, and I've agreed with many of your posts, but I don't agree with you here.
You and I both know that most young people are, in fact, not going to save, so the andre is right.
Your argument doesn't take into account that we live in a humane society. Would you really be willing to let older people starve to death?
This is very similar to the health care argument. In the same vein in which you posit, you would also be willing to allow hospitals to refuse emergency medical service to those without insurance.
Also by your logic, I should be able to opt out of paying taxes if I don't agree with certain wars.
In addition, since I have no children, I shouldn't have to pay for any education.
This list goes on and on.