The dates on my imported transactions are incorrect

The QIF file can store the dates in one of 3 different formats. The QIF file doesn't tell Moneydance which format it is using. The date format used in the QIF file is not necessarily the same as the date format the user had specified for display purposes in Quicken. The Moneydance QIF import window has a "Date Format" option. You should create a new blank .moneydance file and do the import with one of the other "Date Format" options that they haven't tried. Repeat until the dates are right.