will make you view/perceive problems in a different way, so does learning a new natural language, given that it is different.
This as well as the initial statement you've made is controversial and generally frowned up by linguists.
We do not have any evidence that people perceive the world differently nor that it bears any relevance to how they view it. There were attempts at it, but the results are either not very convincing or are based upon farfetched conclusions.
I can't explain how
Well yes, because it's a broad and unquantifiable claim as well as one that's not really supported by evidence.
As such I don't think it's fair and justifiable to say that learning Japanese changes the way you think. You're just adding additional unnecessary mystique to it.