You're right, we differ greatly on these opinions.
BTW - I do not put Fire/Police/Military/etc under the "should be private column". Those are considered "public goods" and are impossible to privatize (i.e. who would you charge and how much, etc).
I put education under both columns. There are many cases where private schools outperform public schools (such is the case here in Colorado).
I also don't think that you will be given "the best product" with universal healthcare. From my understanding, you don't have a lot of choice when it comes to a universal system.
"Britain's National Health Service generally will not provide kidney dialysis for people over 55. Yet Medicare subsidizes dialysis for more than 200,000 people, whose average age is 63." - Roger LeRoy Miller, Economist
Socialized Medicine Leaves A Bad Taste in Patient's Mouths