Yeah, but that's also where Frank's insanity comes into play and he rips Clark's jugular out. All of Batman's training doesn't stop the Joker from being the perfect foil to him. Determination and insanity can compensate for willpower. Frank's taken shotgun blast to the chest, high caliber riot gun rounds (rubber bullets) to the face, baseball bats and bricks to the head and body, hit by speeding vehicles, and kept coming. Frank's no slouch when it comes to will, he does wage a one man war on crime against all odds (both good and bad) and won't let up.
And I still don't see where 10,000 years of utilizing super strength, super speed, heat vision, microscopic vision, a biomatrix forcefield, super immunity and the rest of the Superhero Power Mix #17 Kal El was blessed with will help him in this situation. All the things he did in that time period are not available to him in this scenario.