IIRC P4 isn't necessarily cooler, it has a built in mechanism to slow itself down when it starts getting too hot. Basicaly that means the better the heat sink, the better the speed. AMD doesn't do this, which is a bad thing IMO (because it doesn't protect against overheating), but nonetheless you are always at full speed.
AMD are nice, don't get me wrong, in fact the price you pay for them is well worth it, intel rips you off. Especialy if you are a gamer, your best bet is by far an AMD.
EDIT:
You know I feel like ranting, so heres an example of how intel has historicaly ripped off its customers.
In the 386/486 days, you could buy an SX or a DX processor. The DX is the same thing, only it included a math coprocessor, and costed you 25% more.
Well, with intel, all of their processors INCLUDED the math coprocessor in the die. Only on the SX processor, they had the math coprocessor disabled (some say they fried it as part of the process). So all of these processors were essentialy exactly the same, but intel would go out of their way to cripple one processor so that they could get away with selling it cheaper and thenceforth taking the low end market away from the competition.
Heres where it gets worse, intel also sold an expensive as hell math coprocessor upgrade for the SX users. The upgrade processor was
realy a whole new processor that just told the old one to go to sleep!
Intels celeron sham works similarly, only here they scrap about $10 worth of raw materials, and make it only run on a slower front side bus speed, then sell it for about $100 less. I remember in the days of the celeron 300a, you could overclock it to 450, and it actualy ran
faster than its pentium counterpart at the same raw clock speed! It was about this time that intel began heavily cracking down on preventing overclocking, gee I wonder why. They have historicaly been against overclocking completely because they don't want customers getting more out of their already existing hardware. Funny how all current AMD processors don't have multiplier/fsb locks that you can't override, yet intels are the opposite.
Not exactly the best company ethnics here, in fact right now they are living entirely on the false concept that "more mhz is faster".