I have seen a LOT of early September babies. I also am part of another birth club board and there have been many, many babies born already, with quite a few being true preemies in the NICU, etc. I don't remember having nearly so many very early babes born on my son's birth board. I was actually mulling over possible explanations for such a coincidence, but can't come up with anything that sticks.
I think most women at some point or another hope to go early. It's just part of that "I'm ready to meet my baby and/or I'm ready to not be pg" thing. These days, though, it's a little scary because of the number of opportunities for that to actually happen with medical interventions.
Personally, I don't think I'll go very "early." I really expect to be right about "on-time" with this one, but my range is over a few days. With my first, I didn't have a really good idea of dates (LMP, conception, etc.), and ended up going 6 days past the EDD given to me by the docs. Unfortunately, I'd been expecting to go 2 days before their dates, so it seemed even longer to me than it was. (Assuming their dates were correct, I actually went a very average amount of time.) I'm trying very hard not to set myself up for the same thing this time! I need to start scheduling things to fill up the next two or three weeks so that I have things to look forward to, and won't be disappointed while I'm waiting.
The great thing to remember is that every day brings us closer to meeting these precious babes. They really WILL come out! "Late" doesn't mean "never" - it just means you're that much closer!
Here's hoping we can all be as patient as we need to be...