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.

These are not the only possible intentions behind these policies, and not all support or opposition to them is based on those particular intentions.

In particular I suspect most of the supporters of universal healthcare think of it as a positive right to life/health, whereas most of it's opponents think of it as a issue of governmental power.

Similarly, I suspect supporters of drone strikes think of it in terms of justice and/or preventing terrorism, whereas most of it's opponents think of it as a issue of governmental power.

Thus people who don't see governmental power as a problem, or are simply not inclined to think about it and its implications are likely to be more favorable to both.