Add the lime juice, honey, hoisin sauce, soy sauce, ginger, and crushed red pepper to the skillet, and whisk to combine with the pan juices. Bring to a boil and cook over high heat, stirring often, for 5-6 minutes, unti the liquid reduces to about 1/3 cup. Return the beef and bell pepper back into the skillet and toss with the sauce, until heated through, about 30 seconds.