The quick answer to the question, "How do we get the science into science fiction?" is "Very Carefully!"

Getting ideas for science fiction stories is not difficult.  We can get ideas for science fiction just like ideas in any other genre.

Personal experiences can be sources of stories - of any type.  We all like to talk about ourselves, what we've done, what we would like to have done, or would like to do.  Take any story and set in in the future or onto another world and you turn it into a soft science fiction story.  Making the story dependent on some as yet unknown scientific discovery or technology could turn it into hard science fiction.

We've already seen that "House M.D." isn't considered science fiction.  But take any of those shows and plunk it down onto Beverly Crusher's part of the USS Enterprise and it's now science fiction.