I think Godzilla has a lot of advantages, though Colverfield does have a few.
In terms of height, Godzilla has been listed as being around 80 meters tall. Cloverfield has towering over the Statue of Liberty. If you include the base, that's almost 140 meters!
Godzilla has a lot of experience in destruction and, more importantly, MONSTER FIGHTS!!! How many monsters has Cloverfield faced?
Godzilla has special attacks, including his fire breath beam thing and a strange sliding thing he does on his tail (which the original red ranger's T-Rex Zord did, too). As far as I can recall, all that Cloverfield could do was swing limbs and bite.
Godzilla has a very poor flexibility level, whereas Cloverfield is incredibly agile.
Godzilla has friends to back him up when he's getting beat down; Cloverfield ain't got jack.
Godzilla has displayed high levels of intelligence, for a monster. Cloverfield was just a rampaging thing going off of its "natural" instincts.