Well, choosing a different adventure won't help with bad dice or change the 4e wizard class back into something more like 3E wizards.The opinions were mixed. The rogue (not core group) loved it and is still playing 4e. The paladin had the worst dice. The wizard (the most critical player in the group) hated it -- and what he saw of the wizard class. We only got a couple of combats in, and that was that.
Having said that, I didn't get KotS because it seemed pretty uninspired to me. I got Thunderspire (H2), though, and thought is was pretty good.
If you're just looking for another 'test-drive' of 4E, why not start at a higher level?
Starting at level 4 probably isn't much more complex than starting at level 1 and you'll get a glimpse of play at a slightly higher power level.