Having grown up in a military family I have seen this sort of thing a bit.
I would say it is similar between the Air Force and the Army,
The Army see the air force as “fly boys” who don’t like to crease there uniform and drink cups of tea all day whilst they do all the hard work running on the field and shooting at things.
The Air Force see the Army as grunts, just people who follow orders and know how to shoot things.
It will be similar between the Marines and the Navy. The marines will see us as pussies.
Generally the Navy/Air Force would be on a higher salary than the Marines/Army