Well, DAD didn't beat CR by all that much in the States, and it's more than possible that CR will end up surpassing it over there.
Yes, but we have to correct for inflation, or better said, compare admissions. In that regard, CR will almost assuredly be 10% less than DAD. But given some of the other factors I listed, that may very well translate to a better public reception. The ratings given by...well, just about everyone seem to back that theory up.
As for this business of "darker and more violent/mature content", and without wishing to sound like a broken record, how come THE BOURNE SUPREMACY, which is darker than CR (IMO, anyway), and considerably darker than DAD, took roughly the same amount more than DAD at the US box office than DAD has so far taken than CR? (Grammar going a bit tits-up here, but y'know what I mean.)
Well, it was building on the success of The Bourne Identity, starred the very popular and widely known Matt Damon, and was accepted for what it is. Bond being offered as darker and grittier isn't the same sell, because not only will some of fandom reject it, but many of those who would accept it are skeptical it's for real (the casual fan, non-CnB boycott I mentioned earlier), and may be waiting for the DVD, and still then might have to be sold with more similar films (may sound silly, but some people do hold grudges, for lack of a better word).
Some may also find CR too much of a middle ground between the extremes of Bourne and DAD. I for one consider it's ability to balance realism and seriousness with fantasy and lightness a strength, but others don't. Then there's the simple difference in how the movies were popularly received (box office numbers and "quality" seem to have exactly zero correlation when it comes to movies). Release dates (summer vs. winter) might also factor in, as might running times (which reminds me of a point I forgot to include in my last post, and will now edit in, so thanks!).
Really, there's just so many factors involved, I think it's impossible to say with certainty why, say, The Bourne Supremacy did better than CR. But I do think the various points I raised, when taken together, explain much of the difference in success between the two, as they also do for DAD and CR. It may seem like I was stating the obvious, but I was just trying to present in a neat little bullet point list, is all.