It's nothing to worry about - that's how it works - they all click together but only the one you turn the gas on actually lights. My DCS works the same way. Relax!

You don't have an ignite problem, when you gas flows all will be fine.

It is normal for all burners to click when trying to light the burners, once the burner lights the clicking stops.

All you need is gas.

Thank you weissman. You just saved me a sleepless night of worry!

In addition to weissman's comments, when the gas is flowing, the burner will light and heat up the specific ignitor for that burner. The thermostatic sensor will then shut the ignitors off when the burner lights.

Keep it simple by design.
Not that big a deal but it does eliminate extra parts, etc.
My BS range top has the charbroiler which uses a ceramic glow ring for igniting the broiler.