Generally, you beat them by either driving better, or cheating.
And since you're here, I doubt you're really wanting to spend the time learning to drive better than they do....
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The ZZ-SE is pretty limited on mods, and out of the box are slower than the base ZZ; though with a little time spent with the Search function, you'll have the knowlege to be running a real Pro car in no time. First couple weeks, the RS stock upgrade motor and gears will have you walking away from them. Once they start catching up, you've got to start pulling more and more dirty tricks.
Any idea what kind of racing is planned? Drag, Oval, Circuit, Hillclimb, Downhill, Demolition Derby...
Oh and um, as for the free beer week after week, I'd really reccomend sandbagging some of your races; if YOU are the only one that wins, they will get tired of buying your beer if they don't think you will buy their beer. Then they'll just go back to drowning their sorrows alone.
One last thing, don't drink and drive.