As long as it was bought as one ticket, yes. If you bought two separate tickets (which I doubt but just making sure), you are on your own.
One slight change to your sentence though - they will put you on the next AVAILABLE flight. If the next flight doesn't have enough empty seats for you and your family, they will not bump others off of that flight for you. There are a lot of ATL-MCO flights, each day (changes in scheduling due to COVID notwithstanding), so, unless you're on the penultimate flight of the night, you'd likely get on something that day.