If the United States had also taken the Mexican states of Baja California, Sonora, Sinaloa, Durango, Chihuahua, The former Rio Grande states and the Yucatan states, how might this affect French intervention in Mexico?
Would France still establish the second Mexican empire, or would they not even bother? If they did, would the smaller area of control needed allow for the empire to survive? How would Mexico and France be affected?