Place the Neufchâtel or cream cheese and shredded white sharp cheddar in a food processor and pulse until combined; alternatively, beat together by hand in a bowl until smooth and evenly mixed.
Add the lemon juice, Tabasco, garlic powder, salt, Worcestershire sauce, and sliced scallion greens to the cheese mixture and process or stir until thoroughly incorporated.
Form the mixture into a compact ball with your hands. Wrap it in plastic wrap and refrigerate for at least 1 hour to firm up if needed.
Spread the chopped pistachios and chopped almonds or pine nuts evenly on a plate.
Unwrap the chilled cheeseball and roll it on the plate of nuts until the outside is evenly coated.
Return the cheeseball to the refrigerator, covered, for 1–2 hours to firm fully, then serve with crackers and a cheese knife.