But in which universe do you imagine that the additional input cost of corporation tax isn't wholly born by increase in the cost to the customer of the goods and services they consume. Corporation tax is just a hidden consumption tax on you and me any way you slice it.
This depends on the product and the market of course, but remember goods and services are already priced for maximum profit. If corporations could charge more without a drop off in demand, they would be doing that already increased taxes or not.
If the margins are thin, you'll see an increase in price and subsequent drop in demand if its some kind of luxury item. If the margins are fat you'll likely see no change at all.