Add the softened cream cheese, ranch seasoning mix, and shredded sharp cheddar cheese to a medium mixing bowl.

Stir thoroughly until the cheeses and seasoning are evenly combined and the mixture is smooth enough to spread.

Lay the flour tortillas flat on a clean work surface.

Divide the cream cheese mixture evenly among the five tortillas. Spread it over each tortilla in an approximately 1/4-inch-thick layer, leaving a small border around the edges.

Sprinkle the finely chopped turkey ham and green onions evenly over the cream cheese mixture.

Starting at one edge, tightly roll each tortilla into a compact log. Roll firmly enough that the cream cheese filling holds everything together without squeezing the filling out.

Wrap or cover the Cheese Tortilla Roll Ups and refrigerate for 1–2 hours, or until thoroughly chilled and firm.

Remove the chilled tortilla rolls from the refrigerator. Using a sharp knife, trim the uneven ends if desired.

Cut each roll into approximately 1/2-inch-thick wheels.

Arrange the cream cheese tortilla roll ups on a serving platter and serve chilled.