Actually, we may need to worry about these things in day to day life, contrary to what you claim.
Examples?
Relativity: When you use your in-car GPS, it better be compensating for relativistic effects. Otherwise it'll be miles out a day or two after switching on.
Quantum mechanics: Why is grass green? Why is blood red? Yes QM has the answer (Newton, not.)
(See, perhaps, S. Waring: 'Quantum Biology: A Scientific Revolution in our Understanding of Biological Systems')
Not saying sex isn't binary. But I thought you might like to know queer theory isn't at all like QM and/or Relativity. The Newton/Einstein etc. analogy with binary sex/queer theory etc. is not really that close. Queer theory: nonsense, useless. QM, relativity: as close to the truth as we've ever got; (very) useful.
(Btw, Ptolemaic epicycles, (surely interesting in their own right but ...) not really such a good analogy either. But let's not get into that.)
Dawkins is just right about gametes and binary sex. That's easily seen - and well explained by him.