Make chipotle mayo by blending mayonnaise, chipotle peppers, adobo sauce, garlic, lime juice, and paprika until smooth. Refrigerate until needed.

Heat griddle to medium-high heat with oil. Cook carne asada 8-10 minutes, breaking up into bite-sized pieces until browned.

Cook diced onions and jalapeños on same griddle surface 5-7 minutes until onions are translucent. Combine with meat.

Spread chipotle mayo on half of each tortilla. Add meat mixture and cheese, then fold in half and seal edges.

Cook quesadillas on griddle over medium heat 3-4 minutes per side until golden brown and cheese melts.

Rest 1-2 minutes, then cut into wedges and serve with remaining chipotle mayo.