PLENTY fast enough. It's your video card is what you should be worried about being fast enough for those games, as those games require a good->great video card.
Games nowadays rely on the gfx card way more than they do the processor. Most new games only require a processor of 1.5GHz or less. You should be fine.
anything like a 9600 XT and above will work great for those games
I would reccomend that CPU though as you'll prolly want 64-bit capabilities sometime later on
your sig says you have a 2.8C thats what ill be getting soon. how do you like that proc???? did you notice i big deffernence in your games from upgrading from you old one??? (what was your old one)