In the bowl of a stand mixer or with a handheld mixer on medium speed, beat the cream cheese until fluffy and smooth, about 3 minutes. Beat in the sugar and vanilla, scraping down the sides of the bowl as needed. Reduce the speed to low. Add the eggs, 1 at a time, beating well after each addition and scraping down the sides of the bowl as needed. Beat in the molasses, salt, ginger, cinnamon, nutmeg, cloves, and zest.