Would Government-Provided Birth Control Be Fair, Because Voluntary? How About Government-Provided Guns?

My students have been reading Cahn and Carbone's Red Families vs. Blue Families. As the name suggests, the authors contrast the vision of family life of conservative and liberal ideologies, and actual practice.  The short version of the difference:

Blue families promote marital delay, birth control, equality in marriage, and higher education.

Red families promote early marriage, sex control, complementarity in sex roles, and conservative religion.

I asked the students to try to come up with several policies that would justly serve a nation with both kinds of families.  Some of the students are liberals and some are conservatives, but all are students at a selective college, most of whom are planning on careers for men and women, as well as marriage and children. Some are, therefore, 'red' in their ideology, but tilt 'blue' in their practice.

Which led quite a few, on both sides of the spectrum, to want the government to make birth control widely available to everyone.  They reasoned that this was a fair policy to both views; the government was not promoting birth control, as blues would like, but simply making it available.

It occurred to me that a good parallel would be to have the government make guns widely available to everyone.  Would this constitute a fair policy to both views, or would the government be promoting gun ownership, as reds would like?