So, what we're saying here is it's safe to press the starter button while the engine is running? That doesn't engage the starter, shearing off teeth like it does in a car?
No, don't do that, only partially depress the starter switch and it'll squirt some more go juice into the works. (some models?)
For the K bikes, the starter button only tells the ignition controller that the button is pressed. It stops running the starter once it hits 300 rpm or so. From there, it just enriches the mixture.
In any case, most bikes (notably excluding airheads and Guzzi's) use a sprag clutch type starter, which is a one-way drive system. You could hit the starter at redline, and nothing would happen, as it would just freewheel.
In the case of Airheads and Moto-Guzzis, an automotive, bendix type starter is used. The solenoid slams the bendix mechanism, which includes a one way clutch, into the flywheel gear.