Combine the hummus and cream cheese in a bowl, stirring until no streaks remain—I use a fork and work from the edges toward the center. This blended base spreads evenly and prevents lumps when you're layering the 4th of july tortilla pinwheels recipe.
Fold in the shredded chicken, diced red bell pepper, cilantro, lemon juice, smoked paprika, garlic powder, salt, and black pepper. Stir until the chicken is evenly coated; you should see flecks of red pepper throughout. This is where the filling gets personality—taste it here and adjust seasoning if needed.
Lay one tortilla flat on a clean cutting board and spread approximately one-quarter of the chicken mixture evenly across the entire surface, stopping about half an inch from the edges. I confess I used to spread right to the edge and ended up with filling squeeze-out—leaving that border keeps the 4th july crowd appetizer intact when you slice it.
Starting from one long end, roll the tortilla tightly toward you, pressing gently as you go so no air pockets form inside. The tighter the roll, the cleaner your slice will look later. Repeat with the remaining three tortillas and filling.
Wrap each rolled tortilla in parchment paper or plastic wrap and refrigerate for at least 15 minutes—this firms up the filling so slicing produces clean rounds instead of squished spirals. I learned this the hard way at my first summer party; the patriotic pinwheels party bites held their shape perfectly once I started chilling.
Remove one tortilla from the fridge and use a sharp serrated knife to slice it into half-inch rounds, wiping the blade clean between cuts. This small step prevents dragging and keeps each 4th of july tortilla pinwheels recipe slice looking presentation-ready.