Spoon yogurt onto several layers of heavy-duty paper towels; spread to 1/2-inch thickness. Cover with additional paper towels; let stand 5 minutes. Scrape into a bowl using a rubber spatula; cover and refrigerate.
Combine cream cheese and next 8 ingredients (cream cheese through hot sauce), stirring well with a whisk. Stir in yogurt. Add crabmeat and remaining ingredients; stir gently to combine.