i honestly have no problem with jax, or katarina, or corki, or warwick, or yi.... the list goes on. I can't see the problem so many people have with physical dps champions scaling late game. Did you never play dota? Physical dps heroes/champions scale from weak early game to strong late game. They will always be stronger than casters/support/tanks late game given the opportunity to farm. So how do you stop them? ganks, early pushes, disables. Its not rocket science. If your team has no disables then you deserve to lose to fed carries.
The champions i do have a problem with, are amumu and cryopheonix. For the insane amounts of damage both can put out, they have stupid levels of survivability and slow/disable. Cryopheonix is near unkillable early game unless hard ganked, because of her egg. Amumu can easily reach high health, and with stacked sunfire capes is able to put out more aoe damage than most casters.