I understand that Superman the character and his powers are very unlikely and defy several laws of physics and nature. However, I still enjoy the movies and comics as a form of entertainment. Superman is more of a symbol of hope and justice in a world of so much despair.
Superman is a great character, and most people can accept fiction for what it is and enjoy it. Even if the science behind the movie isn't sound, who cares, it's still fun. People will still read the comics and graphic novels and kids will still pretend to be superheroes. It's good to know the science, but that doesn't change the character.
Superman had many powers and it was fun to imagine him doing fantastic things such as flying around the city and reversing the Earth's spin. However, it is just a fantasy story and not based on reality. Scientific accuracy is not a part of Superman's story, which should just be enjoyed as a fun fantasy.
Most comic book characters couldn't actually do the things that they say they are going to do. Part of the fun of comics is knowing that they can't really do what they say they can do. This is what makes it science fiction. Most modern science fiction is based on things that can't actually happen. That's part of the fun.