Should babies, age 4 and under, be banned from commerical air flights?

This question is about the safety for babies and not about the noise they make. Wife and I were on a flight from Nashville to Jamaica and noticed several babies onboard our flight. I then looked around to see what special safety precautions were in place for babies, should an emergency arrive. I did not see, hear or read any instructions for babies, in an emergency situation. Question: is this something the FAA has forgotten about or does the FAA just not want to deal with it and take its chances?