What you fail to see is that if everyone is forced on the public policy (which the current bill in the House would require in just a few years) we would all be stuck in a plan that is rationing in a manner even more aggressively then Medicare, except, there won't be private insurance to subsidize doctors and hospitals to make up for it.
I don't disagree with you at all that the current plans, nascent as they are, have clear pitfalls. No argument there at all.
But I do think this whole discussion would benefit from the parametres being better defined.
So yes, depending on your policy, you can go anywhere you want. But that has a price, which is often a surcharge with PPOs*. But the previous poster's illusions that private plans don't have this proverbial "bureaucrat" sitting between you and your doctor is a myth for the majority of those insured through private plans.
Simply based on the extremely limited description of your plan, I'll bet you're in the highest 5% of wage earners in the US (>150K per year). Neither I, nor anyone I know, doubts that high income earners have access to great health care in the US.
*I'm generalizing because with PPOs the average subscriber needs to pay to move out of network. Your subscription level may not dictate an additional out-of-pocket charge, but I'm willing to wager that the premiums at your subscription level are adjusted accordingly.