Based on the Twilight movies and based on True Blood. It's obvious to anyone not fangbanging Russell that Twilight operates on a higher level than True Blood. Vamps can't fly in Twilight, but they're obviously stronger/faster, etc... on a whole.
Russell beating up "strong" vamps in his universe doesn't transfer into Twilight.
Especially since Twilight vamps bodies are like some granite/diamond like, nearly unbreakable substance. Even the Volturi's strongest(physically strongest) enforcer Felix took some time to start to show stress and damage on a much weakened Edward. Who while weakened from starving himself was still able to fight at beyond blur speeds.
Ed is faster than Russell. He's stronger. And he can read his mind to predict his actions. I don't see how you can possibly think Russell wins when he's pretty much outclassed physically in every way, and whatever he tries, Ed can predict and counter.