I have a Dell 2000FP and a Samsung 171P. Both are flat panel LCD's. Both are used exclusively for high graphics gaming. My 18 year old son is an avid gamer and plays all of the latest games. He just finished Call of Duty, Max Payne2, Jedi Knight-Jedi Academy, etc. (just to give you an idea of the games that he plays). All are graphic intensive. All play extremely sharp and graphics are gorgeous and game play runs smooth as silk. Never have seen even the slightest hint of ghosting EVER.
One thing you want to keep in mind, the better LCD monitors will give you better graphic quality. Before I purchased the 2000FP I spent many hours at CompUSA test driving every LCD they had on the floor to give me a better idea of what to expect since they demo'd games. Had to buy blindly on the Dell 20" since I was not even able to see it prior to purchasing. It is a tremendous LCD and have no complaints towards using it for gaming (or at least my son says).
I am sure the 1901FP is no slouch as well. I think you will be happy when you get to try it out. You can always send it back if you are not happy and it does not meet your expectations toward gaming. I think once you hook it up, you won't even consider sending it back.
I'm not sure if it's ghosting or a screendoor effect, however the text on my 1901 is fuzzy. I've tried every screen resolution. The best is 1280 x 1024 however text is still blurred. I'm wondering if others experience this and if the 1800 may be a better option.