Fear not, as that deleted subplot is added back into the Special Edition cut of the film, with the biplane rescue remaining in the deleted scenes section.
Led by Randy Quaid’s Russell, this family unit found a lot of their journey to Area 51 cut, which includes an entire subplot about the youngest son getting sicker through the movie, due to a chronic illness.
If there’s one sect of Independence Day’s characters that took most of the editing room’s brunt, it has to have been the Winnebago traveling troupe known as the Casse family.
Most notably, there’s even an entire alternate scene that was cut entirely where Randy Quaid’s Russell shows up in the nick of time in the final aerial battle, with a missile strapped to his red biplane.