To clarify, I was referring to the use of drone warfare to target a nation's own citizens without judicial review.
I imagine there are fewer good reasons to support that policy that drone war in general (though we lack the details). I have a hard time seeing why people would support it but I don't see why people who support universal healthcare would have a harder time supporting it than anyone else. I mean, I would be a little surprised to meet someone with that view-- just because one is something more likely to be found in the conservative cluster of ideas and the other in the progressive cluster of ideas. But I don't see any deep tension between the views.
One represents a belief in an inviolable positive right to life and health, the other represents a belief that life exists solely at the discretion of society/authority.
Note that I distinguish between single-provider/government-provided healthcare and universal healthcare. Somebody who wants government in charge of healthcare isn't necessarily someone who believes in universal access to it.
As Multiheaded added, "Personal is Political" stuff like gender relations, etc also may belong here.