Batman isn't the only one that doesn't trust Superman. Didn't you catch how divided everyone was? However, Bats was the only one in the film with the balls, skills, and assets to stop him. Superman no threat? You catch that dream sequence? That was an example. And for the majority of the film, people were shook of Supes and wanted him to answer for all that destruction. He was a god to them. Some worshiped him and others feared him. If you compared just the two of em, yeah Superman is usually the more sympathetic and easy going one. It's been like that in the comics too. Batman was always the one hitting dudes with the
of distrust lol.
One of the main points of the film was to show the different ideals of the two and how they came to understand each other. Once again, it's no different in the comics either. NO ONE in the film sees Batman as the bad guy other than Superman and Lois for a sec. People see him as a crazed vigilante, but not a villain.
You follow the comics at all? Batman is always considered the extreme one.