If Private Health Insurance Is So Awesome, Why Would It Lose a Competition With Gov't Health Care?

If Private Health Insurance Is So Awesome, Why Would It Lose a Competition With Gov't Health Care? | OurFuture.org:

“Forcing free market plans to compete with these government-run programs would create an unlevel playing field and inevitably doom true competition,” the letter [from Senate Minority Leader Mitch McConnell (R-Ky.)] stated.

If the "free market" is as marvelously awesome as conservatives claim, shouldn't it have absolutely no problem winning a health-care competition with "government-run programs?" Or does this little-talked-about hypocrisy in the Republicans' argument expose a brazen corruption? Does it show that conservatives are totally bought off by the private health insurance industry that Americans despise?