Hmm... still won't be enough. Other than his standerd beam, Godzilla has a nuclear pulse, an advanced healing factor almost as fast as Wolverine's, and a very thick hide. King Kong only had electrical powers in KK vs G. Otherwise he is just a regular giant gorilla. He might even succumb to radiation poisoning. Godzilla's super high radioactivity would eventually kill King Kong.
While he does have speed, and possibly have better intelligence, King Kong does not have the endurance to keep up with Godzilla. Godzilla's healing factor allows him to stay in a fight longer and have higher endurance than most. Also Godzilla's tail is have of his height, so he has a longer reach than King Kong. Add in his beam attacks, and his reach is even longer.
And as i said before, all the radiation from Godzilla will quickly overcome King Kong. First effect is a extreme nausea, second is uncontrollable vomiting, third is usually unconsciousness, and finally death follows. He won't be able to get near Godzilla without entering Godzilla's radioactive AOE. So his maneuverability is almost useless.