Blend cream cheese, chipotle, and asiago in a microwave-safe dish. Taste, and add more chipotle if needed. The yogurt will tame the spicyness, so you may want the cream cheese blend to be a notch higher than you would normally like. Set aside.
Steam broccoli to desired level of doneness. Set aside.
Prepare pasta according to package directions. Drain.
Microwave cream cheese mixture on high for 1 minute.
Add yogurt to cream cheese mixture, stir to combine.
Reheat chicken, if necessary.
Combine broccoli and pasta.
Stir in cream cheese mixture. Add salt and pepper if desired.