In a medium mixing bowl, mix the sour cream and cream cheese until blended. Add the tamari, ginger, and green onion and stir until thoroughly combined.
Transfer to a storage container and refrigerate until the flavors have married and the dip is completely chilled, at least 2 hours.
On each cracker, place an avocado slice, 1 teaspoon of tamari dip, a slice of cucumber, and a square of salmon. Top with 2 chive pieces, laying crosswise.