Jerry, what color space are the images in when you're viewing then in a non color managed environment? If they are not in sRGB, odds are good that they will look bad. The only web browser that I know of that supports ICC profiles is Safari on the Mac (which is something of a gotcha, a file can look great in Safari and terrible in every other brower if it is not in sRGB, and has the correct profile). I've heard Microsoft developers claim that IE supports color management, but I think it's along the lines of "any profile you want, so long as it's sRGB."
Another gotcha is that Photoshop's Save for Web does
not(in CS, don't know about CS2) convert the image to sRGB, so you can easily end up with an image that is nicely sized for the web, but with a profile like Adobe RGB or ProPhoto RGB. Compare the difference, both of these images are from the same master, the only difference is that one was converted from ProPhoto RGB to sRGB before being run through Save for Web.
This one is in ProPhoto RGB:
This one is in sRGB:
Trying to target images to a non color manged device is likely to lead to premature baldness . . . If the device is a monitor, it will probably be somewhat close to sRGB -- but it could be way off. Dealing with non color managed displays gets really hard if you're trying to support more than one of them.
If it's an option, I'd suggest providing a reference point so that viewers can tell that their monitors are off. A black-to-white step wedge can be used. Add some text telling the viewers that they should see neutral grays and a clean white.
Something like this:
HTH, Doug