The two examples are so disparate that they can't possibly make the same point. My gun impinges on you only in that you want the right to dictate what I may or may not own, simply because it makes you nervous. That's a far cry from noise I create preventing you from sleep. They don't equate in any way at all beyond involving the same two people.
No the point remains the same - your freedom TO can impose on someone's freedom FROM.
Your gun doesn't impinge on my right to dictate, it imposes on my idea of safety. Gun ownership, in my opinion, a safe society does not make.
They examples show that whatever freedom you desire is bound to step on someone else's toes, essentially taking away a freedom of theirs.
Of course you care who provides your healthcare. If the gov't started making unrealistic demands on you to continue receiving healthcare, you'd holler but wouldn't be able to do very much about it. At least with a crappy HMO, there's hope that a less crappy HMO will come around offering less crappy services in direct competition. You would then be free to make the choice to drop one in favor of another. It's not likely that a less crappy government will come in to offer you a choice of governments. They tend to be resistant to coexistence, unlike crappy HMOs.
Of course I'd holler if the govt started messing up my healthcare. I'd do the same if I was private and they messed it up too. The freedom to drop a private HMO in favour of another is not that disimilar to my ability to use my vote and pressure my MP to improve my govt healthcare. Both amount to the same thing.
You have less freedom than I, being under a more micre-managerial government, but you do have freedoms. Take something innocuous, like fast food. If you want a hamburger, you can go to restaurant A, B or make one yourself. If restaurant A doesn't offer hamburgers on their menu, you are not free to demand one anyway, that's true. Likewise, you aren't free to determine the price of the hamburger if they do sell them. But you are free to go to restaurant B or make one yourself, based on whatever criteria you deem important. However, if the government decided that it should take over the care and feeding of its citizens, you may very well lose even those minor freedoms. You may not be allowed to have a hamburger when you want one because the law has dictated you've eaten your quota for the period.
Admittedly, that's an extreme example, but in my opinion every government I can think of has already crossed the line of acceptable infringement.
Well this point is really the center of the arguement, isn't it? Basically what you're saying is totally correct, where we might differ on opinion is how we would define an "acceptable infringement."
As you know, I'm a libertarian so ideally would like to see the dissolution of all structures of power, govt included. But at this time, with our current societies, that simply would not work. So, my level of acceptable infringement is solely based on the "greater good", that is, what is best for society a whole.
In your example, I could only condone a govt take over of food in very extreme circumstances, say in times of natural disaster, war etc. This happened in Britain of course after WW2, and lasted until the 50s. Everyone hated it, but it was necessary for the country. If the govt didn't step in and ration, food would only go to the rich and the poor would have been buggered. In that instance, I would accept that infringement on my freedom to ensure the survival of my society in the fairest manner.
You have less freedom than I, being under a more micre-managerial government, but you do have freedoms.
As a short side, I'd love to hear what freedoms you have and I lack. I've lived in the UK, Canada, The US and Spain and never noticed a difference in the general freedom. Perhaps the UK and Spain are far more lenient on drug taking than the US, which is a freedom I certainly approve of, but other than that, the level of freedom between western countries is nigh on identical.