Snackin’ goodness!

3 boneless, skinless chicken breasts, cubed
1 tsp chili powder
1 tsp ground cumin
1 tsp kosher salt
½ tsp freshly ground black pepper
2 tbsp olive oil, divided
1 yellow onion, halved and sliced
1 red bell pepper, sliced
1 yellow pepper, sliced
2 tbsp fresh lime juice
1 (13oz) bag tortilla chips
2 cups shredded Monterey Jack cheese
1 cup shredded sharp cheddar cheese