In a medium bowl, combine the goat cheese, Monterey Jack cheese, shrimp, shallot, chopped red pepper, cilantro, basil, salt, and pepper; stir well. Divide the cheese mixture into eight equal portions. Place one portion into each Chile, being careful not to overfill. Close each Chile, overlapping the edges slightly. Transfer the stuffed poblanos to the baking sheet. Bake until just warmed through, about 10 minutes.