Why do the majority of living organisms have male and female genders for reproduction?
The vast majority of living things don't. You're thinking only of Animalia, Buz. Bacteria and Archaea don't have gender. Unicellular life does in a few instances. Plants have male and female gametes, but they both come from a single hermaphroditic organism in the majority of cases.
Some examples of ID replication would be the circular shape of global bodies in the cosmos,
Nearly-spherical planets and stars require only two things: gravity, and construction materials of less-than-infinite strength. A 500-mile diameter chunk of granite will break and deform itself with only its own gravity to end up near-spherical. No deliberate design needed.