Jax may be a little overtuned ATM but is definitely not broken as a champ. In the years on this board I've never seen anyone complain about his kit until recently. By your logic, Xin, Udyr and Yi are broken too because they're right click melee champions with target spells. His kit is fine. It's ok to have simple kits in this game.
Not everyone wants to play an extremely high skill cap champion, and sometimes, there's more complexity in a simple kit than at first glance. For example, how many times have you seen a Jax use a ward hop mid teamfight to dodge a CC skillshot while putting himself in position to get the kill? How often have you seen a Jax bait someone into a good fight for him by letting himself get low then using his ult to turn the tide?
A lot of the simpler kits are like this, which I'm sure you're aware of being a Quinn player. Why no hate for Udyr?
He's not much different than Jax and is even stronger right now. Maybe you're just salty because your normal right click trading patterns aren't the most effective against this melee champ who actually has the tools to deal with Quinn.