Actually, no. I don't deny that it's possible, I merely point out that it's not particularly practical, insofar as it offers no apparent tangible benefits over the current system, and has several flaws that don't currently exist. I have the luxury of defending something akin to the status quo, meaning that I don't have to demonstrate the impossibility of your proposal - I merely have to show that it's no better than what we have now, which it isn't, and hence there is no incentive to change.
Um, that's true--in much the same way that letting Muslim women pick their own husbands has "no apparent tangible benefits over the current system" of arranged marriages. I mean, if you ignore the fact that women today are raped and beaten, it really boils down to the same thing: either way, they get married to some guy...
Lest you think I'm exaggerating, the analogy is exact. Except for the fact that people are billed for things they neither want nor need, and then jailed if they refuse to pay, both systems are the same. Your argument is exactly the one I would make to defend a NYC protection racket: the cosa nostra provides better protection than the police. There's no apparent tangible benefit from eliminating the mob.