I think Hulk would be considerably faster than a small Japanese man. I also believe he'd be much more resilient to a thermonuclear blast, which I have argued time and time again. Firing a beam at a stationary target, and grabbing a moving target are two entirely different feats. With Godzilla's feeble flexibility and mobility, I seriously doubt he could reach, or moreover catch Hulk. The battlefield removal theory is out of the window.
Godzilla is bigger and heavier. Those are his only "advantages." There is no reason he should beat Hulk.
ohh.... i just realized something.... hulk's mere pressense would cause godzilla to be invincible! when godzilla nears anything radioactive, it heals him completely as he drains its energy by HIS pressense.... so hulk would constantly be losing any gama radiation (by the way, godzilla emmits extreme amounts of alpha, beta, and gamma radiation, something no known source can...) while godzilla became stronger and stronger...