Almost any video card will fit in a case, although the real question is does the motherboard support PCI-E. Don't worry about your case, worry about your motherboard.
they have dimensions posted... it's worth a check. i have a hd4850 and it's very long, then again my last card was a radeon x700 LOL... but check it! when i installed it i almost snapped a few pins cause it is very long!
If you're using IDE more than sata (apparently 100% more according to the picture) then you would benefit by removing two and just using your IDE until you decide to upgrade, if that needs to be done in the near future (in my opinion I don't care how fast it is as long as it works).
I wouldn't worry about the sata, if you need them by any chance well I suppose you can remove the graphics card. By the way, are you 150% sure that your card will work in your computer? By looking at the pictures you have no PCI-E slots, sorry if I sound mean I just don't want you to waste your money to find out it doesn't work.
My current card is using the only PCI-E, so that's why you didn't see it. However, I'm concerned that the PSU won't hold up, as I was reading reviews on newegg and saw this.
Pros: small enough to fit into ant3c sonata II case with inside case fan installed. maxes out every game i own now (not crysis) with maxed AA and AF. Loads cooler than my old 7600GT. all cores + memory idle about ~32 C. quieter than i expected.
Cons: i prefer instant rebates but w/e
Other Thoughts: i use an old CRT right now at 1064X768. Hopefully the performance wont disappoint when i upgrade to 1600X1050 this spring. Good idea to get a new psu if you're using the original 450w one that came w/ the sonata II, it'll eventually kill your computer.
you might heat a small pc case ,and obviously it should fit in the case