I am surprised nobody pointed out yet another reason: Most of them do not need actually a secret identity.
Black Widow: Natalia "Natasha" Alianovna Romanova
Hawkeye: Clint Barton
Both are orphans and have no known relatives which need to be
protected. Both are also relatively lonely and are working
secretly for SHIELD/Avengers which is their ersatz family now.
Nick Fury
He has actually a secret identity, his role as leader of SHIELD is clandestine. Hydra was able to attack him because they subverted SHIELD.
Captain America: Steve Rogers
He was frozen in ice some decades, so all the people he knew and loved people are dead now. In "Civil War"
his deepest love died of old age. Her daughter niece is a friend working for the CIA, so she has protection (and can take care of herself).
and he lost most of his popularity after the defeat of the Nazis. Like Romanov/Barton, the Avengers give him a group of peers.
Thor
He is one of the most powerful Asgardians and Earth is not his home so he does not have humans to fear. His temporary dismissal which caused him to be left powerless on Earth seems to have been unnoticed by any possible enemy, so his human friends have nobodyto fear.
Hulk: Bruce Banner
He had secret identities: Before the Avengers and when he decides that leaving the Avengers is better (sure, they know where he is, but at least SHIELD has the decency to hide that they know it). And really, who is dumb enough to try to make an unstoppable juggernaut angry ?
Iron Man: Tony Stark
Well, he is famous in the MCU, rich and powerful. The earth has also trouble to hold the weight of his ego, so he invites enemies and in fact protecting his loved ones with a known identity is a key point in the movies. What is helping him is that many people think that he is an overconfident asshole/womanizer so they do not assume that he cares very deeply for his bodyguard/chauffeur Hogan and Pepper Potts.
Ant-Man: Scott Lang
Given that the actually has an ex-wife and a daughter, not having a secret identity may give him problems in future...