It would be presumptuous if I was to say that not thinking that way would make you a bad programmer; I'm sure there are many ways to enlightenment. And many types of enlightenment, for that matter. But I would venture to say that being able to think of programming as language, is a strength. Whether you use this paradigm as the primary frame for writing software, is a different matter. I find it very powerful.

See also: Literate programming, or - more recently - Domain Driven Design (In particular: Ubiquitous language).