No case. Not a chance.
Maybe you get out of this charge on the technicality -- although I doubt it -- but not a minute passes before you'll get hit with a "providing false information to an officer" charge. If the judge knows his **** -- and isn't pissed off by your bull**** defense -- he'll find a way to fine you the exact same amount as you would have paid for the speeding ticket.
That is what is known as a Pyrrhic victory. ;)
Joe's idea is the best I've seen: plead it down to a zero-point offense, pay the fine, go home, slow down.
As for quotas, they do exist. ... BUT ... they don't matter to any police department except in very small municipalities, where a healthy percentage of their revenue (say, 20 percent) is accounted for by those quotas. The South is notorious for these "speed trap" towns, as is Texas. But any town with, say, more than 10,000 people isn't going to have a big, bad quota system, the way some of y'all make it out to be. Traffic ticket/fine revenue just doesn't bring in enough money. And highway patrol/state troopers are NEVER going to have a real quota system.
Sorry. Very, very few cops are pulling you over because they have a quota. They're pulling you over because you're breaking the law -- even if it's by 7 mph over the limit (which is a stupid reason to pull you over, IMO.) But it's more likely that it's a quiet night, or they're in a bad mood, or myriad reasons ... that have nothing to do with quotas.