By all accounts, on paper anyway, the G1X appears to be a stunning little camera for the non-pro, high-level enthusiast. Howver, with a widest apperture of f2.8 we can just barely squeeze in some low-light photography--as long as the light isn't too low. Then there's the other problem: finely blurred backgrounds for portraits. At f5.8, well, blurred just ain't gonna happen and I'm pretty sure the photographer doesn't want to get right up into the subjects face witht the lens wide open, although I could be wrong. It's would seem that, if Canon wanted to, they could put a very high-quality lens on this camera with f2.0 (plus IS) throughout the focal range. Consider: if that were the case, we just might have one of the most perfect little cameras ever available to the enthusiast at a price range that is achievable by most. So...why not?
I'd love to know what your background is so I could confirm my suspicions about various aspects of your life. How old are you? How long have you been shooting? How many years of film and how many years of digital? This is your first post so I can only guess.
Okay, now that my curiosity is out in the open, I'd like to give you my opinion on everything you just said.
Low-light photography: With a high ISO range and excellent image quality with low noise across the board, that f/2.8 is not going to hold you back. Shoot at ISO 6400, and shoot in RAW. The other guy talking about IS is right about reducing hand-shake, but if you want to freeze motion don't be afraid to crank the ISO up.
f/5.8: As you zoom in to that maximum aperture, you're continuing to narrow your depth of field with increased focal length while the smaller aperture is increasing it. I'm not going to do the math, but if you want razor thin depth of field you'd better go get a DSLR and a really nice Macro lens. Okay, I'll do the math -- at f/5.8, 60mm (using the 7D as the closest camera in the DoF Calculator database), your depth of field is 1.51 feet at 10 feet; at five feet DoF is 0.37 feet. Like I said, Macro lens.