In a food processor, combine the roasted red peppers, chickpeas, tahini, lemon juice, minced garlic, cumin, and salt. Blend until smooth, scraping down the sides as necessary.
Taste the hummus and adjust seasoning if needed, adding additional salt or lemon juice based on your preference.
Lay out the whole wheat tortillas on a clean surface. Spread an even layer of the roasted red pepper hummus across each tortilla, leaving a small border at the edges.
On top of the hummus, layer fresh spinach, cucumber slices, shredded carrot, and sprinkle feta cheese if using.
Carefully roll each tortilla tightly from one end to the other, tucking in the sides as you go to ensure the fillings don't spill out.
Slice each wrap in half diagonally for easier handling and serve with additional hummus on the side for dipping if desired.