A major problem was that both the RAF and USAAF had basic philosophies that tended to deprecate tactical bombing in favor of strategic bombardment. Certainly, the latter contributed to the defeat of Germany, although it may have been less than the most cost-effective way of doing so, and its most important contribution to the Allied victory may have been pulling Luftwaffe resources away from the Eastern front, which ultimately cost Germany air superiority on that front.
And, Dave, neither the RAF nor the USAAF needed to use Ju-87s. The SBD could manage about 240 mph with either a 1,000 lb or 1,600 lb bomb, and demonstrated sufficient accuracy; the SB2C was, in most ways except flying qualities, better. The Skua was definitely inferior to either: slower, and with a smaller warload, but it did suffice to sink some ship or another.
Whether divebombers would have been, overall, better than what was actually used is a second question.