You miss the point. The Constitution provides that there are certain things the majority cannot do to the minority, no matter how large the majority, no matter how strongly felt its position is, and no matter how small the minority. Those are the rights that the Bill of Rights guarantees.
However, it does not generally provide that just because the government grants a certain benefit to one group of people, it must ipso facto grant exactly the same benefit to everyone else.
Or, to put it in the converse, just because the government drafts young men into the army, doesn't mean that it must also draft young women.
Benefits do not equal Rights. I think that is the source of confusion. Government grants many benefits, most of which are not guaranteed (nor authorized) by the Constitution, but those benefits are not Rights.
Serving in the Military, conscripted or otherwise, is not a Right. You have to pass or meet certain criteria to be eligible, otherwise, you do not get in, and those criteria range from physical capabilities to modes of behaviour (in re use of controlled substances and an absence of felonious history).
That isn't on the same plane as the Right to worship the deity of your choosing (or none at all), nor the right to freely express your opinion, nor the right to peaceably assemble in protest or support, nor the right to speak of or publish your musings on any of that and more. just to wallow through the First Amendment. We do have theoretical limits, for obscenity (pretty loose nowadays), and no human sacrifice, but still the fundamentals are there for all.
