A 747 can carry 308,000 pounds of weight. The average person weighs 136 pounds. This means each flight can potentially carry over 2,000 people per flight.
Assuming there are over 20 million illegals residing in the US, it would take 10,000 flights. If this new airlines had 10 aircraft, it would take about 3 years to send them all home. This assumes 10 flights per day.
I propose the new airlines add a container ship option. These typically can carry over 300,000,000 pounds. This means each ship can carry 2.2 million illegals. If we had 10 container ships, we could load them all up at once and send them all home in months, not years.