You mean it doesn't look like an Arkham Asylum? No. Nor should it. The series takes place in modern/near future Japan, where they deal with such things in a more modern way, and mental institutions basically just look like hospitals.
They made it clear though why he wants to be a hero. Like Midoriya, he wants to be like All Might. Which leads us back to "That's not something All Might would do."
Bakugo ALWAYS looks like a villain. It's SUPER unclear(but also super humorous) why he wants to be a hero instead.