Does one US military branch think it's superior?

I feel we all do our part of the same job and in my opinion do a damn fine job

I personally have never thought anyone branch was superior to the other. We all have our areas of expertise and our missions , but we wouldn't be able to win without one-another!
As the saying goes "One team, one nation, one fight!"

Oh there is definitely still inner service rivalry but I think (for the most part) it's good natured.

I was stationed in West Germany and visited the U.S. Air Force bases at Ramstein and Sembach and
those guys had much better barracks to live in and the food was excellent. I had several of them tell
me "you have to be intelligent to be in the U.S. Air Force". U.S. Marines will tell you they are the best because they are the first to fight, "the tip of the spear"! There has always been a friendly rivalry
between the service branches. Army vs. Navy, Navy vs. Marines and Air Force vs. everyone!! We liked
the stuff thrown our way from the Air Force guys and gave it right back to them but it was all in fun,
right?? All of us worked to defend our nation in the past and today. Yes, Air Force guys can read & write.

The military is a fighting force. Each service is vital for the defense of America. Each service has it's purpose and one can support another. It all works together. Having been in the Tonkin Gulf loading ordnance on A/C on an aircraft carrier I was touched by the remarks of a Marine once when I told him my role during Vietnam he grabbed me with tears in his eyes saying that Navy Phantoms saved his life and his squad as they came in overhead and dropped their bombs on enemy that would have overrun them. I've also heard from others how another branch of the military saved a life. It all works together. Being retired I go aboard military installations and meet up with older Army , Air Force , Marines and even Coast Guard and have some good conversation.

I believe each service believes they are superior in some way. When it comes to the total package though I believe the Marines have it all. They have all the items they need to conduct armed conflict. They are also in charge of security on ships, in embassies, and are even present at the White House, among other places. So hands down they have the Army beat. The others have pluses and minuses depending on the branch.

COL Mikel J. Burroughs There will always be inter service rivalry. It is an important part of tradition. It is a good thing to build comaraderie, as long as it is not taken too far. It also goes away when the chips are down. Need an invasion. Air Force and Navy bombard the target into the stone age so that when the Marines and Army hit the ground the enemy is not only softened up, but also in disarray. My favorite time of the year is Army Navy Football time. I love the spirit spots, even the ones that make fun of Navy.
From another angle, each branch performs a different function requiring a different type of person. A different mentality. It is as you say we are a representation of the USA. We all have one thing in common. We volunteered. Regardless of reason, length of service, or deployments, at one time we all spoke to a recruiter of some kind and said "Sign me up." That in and of itself is worthy of respect.

COL Mikel J. Burroughs All I can say is that the Air Force has the most intelligent enlisted corps of all the services and we can prove it...

We send our officers to die.

Its a joke folks. I made it to lighten the mood. You're welcome.

I suppose there is. Pretty much at Junior enlisted levels as a rule. No different than kids from different high schools or areas.. No different that folks being gung-ho about a football team.
Youth is always going to play that card. I occasionally hear things on here about negativity between services but I think that is not the rule. Certainly some services have no combat troops which is of course a badge of honor to those who participate.
Mature adults grow to understand that we are all members of the human race and same team.
When I hear people raise hell about Trump respecting or admiring Putin, I know that they themselves are fairly shallow in their understanding of the world in general.
Put in is the leader of his people. While no doubt there are many things that we all would not approve of as a rule it is still important to remember that Putin, along with most other world leaders have enormous responsibilities and must meet the needs of their countries.
I don't fall in behind anyone football team, or any other team for that matter. There are excellent and admirable people everywhere. Who they work or fight for is a matter of birth and chance.
The failure to understand this is once again primarily a sign of an immature worldview, or just an ignorant person who has never bothered to develope their own opinions through critical thinking.
Unfortunately those in power are easily tempted... with good reason because it works..to take advantage of this trait.
" When you find yourself on the side of the majority, it is time to pause and reflect."
Mark Twain.
Hilary did win the popular vote after all... so I guess I am safe on that one.

Yep. There is a friendly rivalry between the branches and then there is over bearing egos that take the rivalry too far. Same can be said within the Army and it's different MOS specialties and career branches. As for the football rivalry, I never attributed the academies truly representing the services.