I'm going to tell you a little story.
My cousin is in the Army. Similar to SWAT he works with special units that get their hands dirty often. He has several responsibilities, one of which involves tank operation and artillery on the front lines. The tank has nothing to do with this situation but I have always found it cool that he gets paid to blow up shit. Ok, back to the story... Fighting overseas is something he does by choice and has chosen to re-enlist on several occasions. None of this was to fulfill his need to be the alpha male. It was to protect other soldiers because he has the training and expertise to possibly make sure another soldier makes it home safe. A self proclaimed nerd, he can breach your house and take you out with his hands or shoot your face off from a couple hundred yards. This is in no way to show off, not to be top dog, its just to be in a position to help others if needed. I bring him up because he is basically SWAT. The only difference is he's kicking down foreign doors. If you go deeper into it you will find most do it to help others. Its selfless not selfish.
I'm not going to be ignorant and say none of them are as you explained. I'm also not going to say they are all great stand up people. What I will say is they are all individuals that are/were good enough to be considered elite. They risk their lives all the time to try and make a better place for us. It offends me when people like you look down their nose at the entire group. The guys that screwed up deserve the backlash, not everyone wearing the uniform.