Stonewalling isn't necessarily the best strategy, particularly if you both know you were in violation.
If I wasn't white, I think its highly possible things would have turned out differently.
Every encounter I've had with police so far (a few traffic stops, being caught dumpster diving, being in a few parks in Boston after midnight), I've found it just to be better to be nice. I've walked away from every situation so far with zero tickets, arrests, handcuffings, etc...
If you've done wrong, admit it. Don't lie about it.
If you get a ticket, accept it as deserving punishment for putting other lives at risk.
I think though, depending on various factors, that playing 'nice' can definitely get you further than stonewalling the cop. It all depends what you (potentially) did, who you are (being a white, upper middle class male doesn't hurt), and what you think the worse-case scenario will be.
My experience is people have more respect for people who will admit to a mistake/wrong-doing than for someone who will try to weasel their way out of trouble.