You don't have to be. I'm a morning runner because I wake up early anyway, but that doesn't make me any better.

Sleep is important for recovery and you shouldn't sacrifice sleep just because internet tells you how every cool person on the planet runs at sunrise.

If you really want to wake up early, you also have to go to sleep earlier similarly. I go to sleep every day at 10 and wake up at 6 which gives me plenty sleep.