His father's business under his leadership became the oldest family-owned construction equipment distributor in the United States, and at one time the largest crane dealer in the southeast.

His cousin Gustav Müller Jr. became a prominent businessman in Jacksonville the owner of the Hotel Burbridge and the G. Muller Company.

[8] After graduating from Andrew Jackson High School Moody enrolled in the United States Naval Academy in Annapolis, Maryland.

The business had become the top distributor of American Crane's products in the United States and helped build military bases in Florida during World War II.

[14] Moody Brothers operates a fleet of over 100 barges, tugboats, and the rental of heavy marine construction equipment.

In September 1987 his business Moody Brothers made national headlines when one of its barges called the MOBRO 4000 was carrying garbage from New York City.

[16] When it returned to Green Cove Springs it had to be "all dolled up" according to Max Moody Jr. which was beyond its extended period of time on the high seas.

Ten days later he returned to work to ensure that his business was still continuing its exponential growth.

11 years later Moody's health began to decline and on December 3, 1987, he died of a heart attack at the age of 74.