Well, this is assuming the MCU got to have the X-Men in the first place. They wouldn't need the Inhumans if they had mutants.
No, the question being asked in this thread does not imply an MCU in which the X-Men were already there. It implies an MCU in which the X-Men show up in the future, long after it began. The MCU won't need mutants once it has Inhumans.
Hulk has an action figure in the MCU. How hated could he really be? SHIELD must have used some of that post-invasion cash they got to do a massive publicity push for the Avengers, good PR and all that. "Come on, guys, it was totally SHIELD's idea to have the Avengers stop the Chitauri. The Hulk? Sure, he may have made some mistakes in the past, but move on! He saved the planet. Remember your free Avengers gift bags with signed posters on the way out." That, or Tony's stolen his teammates' likenesses to fund his apartment renovations. Does the Army own Steve's image, I wonder, or is he in the public domain? Poor guy.
I don't the impression that the general public knows very much about the Hulk in the MCU. The military seems to have kept him a secret prior to TIH--Blonsky knew nothing about him. The Hulk had something of an outing in that film, but it was just a couple of sightings, after which Banner went on the down-low and avoided transforming for a long time prior to The Avengers. He doesn't seem to be routinely rampaging through towns and putting fear into the hearts of the civilian populace.
Racists exist and they sell toys of all sorts of nationalities. I'm sure there are groups against the Hulk.
Hell, there's entire corporations devoted to ridding the world of Iron Man. And he's got the best PR team on the planet, Mrs Robert Downey Jr. So sure, Old Thunderbolt Ross probably holds regular Hulk-paraphernalia burning bonfires, inviting all the neighbourhood radio schlock jocks. But being marketed to kids likely earns Bruce some goodwill from the general pop is all I'm saying. Being feared by everyone all the time doesn't seem to be the status quo for him at moment the way it is in the comics.