Is it a good idea to get a narrower front tire and a wider rear tire on a road bike? I am currently running Continental Grand Prix S 4000 in 23-622 / 700x23C front and rear. I am about to buy a new set of tires for my road bike and am fancying a smaller tire for the front and a wider tire for the rear. Actually Continental offers such tires as a set (GP attack and GP Force). Also note, that Motorcycles usually have a wider rear tire to support quick acceleration but still have dual disk brakes in the front to maximize brake force.

I tend to ride fast in a traffic situation where the majority of bikes travels slower. So I am often underestimated and have to brake sharply. While panic braking my bike tends to pulling, which I have learned to manage. I suspect a wider tire to reduce pulling, by developing more grip in low load situations. The weight balance gets shifted to the front, when breaking sharply and therefore the front tire does not skid even with much break pressure. The back tire on the other hand does only carry little weight and skid with the same brake pressure applied. 

I am also facing periodical flat tires with a frequency of 1 per 10 weeks or so on the rear tire. I suspect a wider tire to pick up fewer glass splinters, by reducing the pressure. The rear tire carries the main load while non-braked riding and a wider one distributes the force to a bigger surface area thus reducing the pressure.

Update

Thanks for all the input. Your answers have helped me a lot in finding my decision.
I'm currently running the Conti Attack/Force combo on my road bike. I have previously run both the GP 4000, and the Schwalbe Ultremo ZX on the same bike. 

The concept behind the Attack/Force is that the slightly wider (24mm) rear tire will allow just a bit more comfort, and the slightly narrower front tire (22mm) will be a touch lighter with more reactive handling. 

I feel a difference in comfort, but I can't say the handling was noticeably different. Of course, the GP 4000 was pretty stable to begin with, so maybe that's a good thing that I don't notice a change.

They do feel a bit more stable in a corner, and I feel like the rubber compound is a bit stickier. They say it's the same Black Chili compound used on the current GP 4000, so maybe that's psychological. 

I can say that the comfort aspect is worthwhile, and there is nothing I have bad to say, so why not try them. A set (here, at least) is the same price as a set of GP 4000's. No loss, at least, and a bit of gain on the comfort side.

@DanielRHicks commented that you might need to worry about braking power or traction. I've had no issues with braking performance, and these are a pro peleton tire. I don't see any issue there. I've also had no issues with flats on the tires, but then, I didn't have with the GP 4000 either.