I think that if it all made sense to us, then it wouldn't really be science fiction. It would be things we already have and use. Isn't the whole point that in the future, they will have developed new ways of understanding science and technology, and will do things in a way we cannot truly conceive today? If it was all "correct" and worked then we would have it right now, wouldn't we?
I think I read somewhere that hundreds of years ago, the idea of burning a fire inside a sea ship (steam power) was considered crazy. If you told someone from the 1800's that an invisible particle could be affected to release enough power to destroy a city, they would say you are insane.
21st Century People: "Silly geese, photon torpedoes couldn't work!"
23rd Century People: "OMG they are so primitive! They haven't learned how photons can be used to release energy!"
I do not care much when technobabble is used purely as a solution to the plot. I think it makes sense when that is not the true thing the story was about. There is a difference for example between the Voyager episode "Parallax", where there is a whole spew of technobabble solution at the end - but the real story was about the relationship between Kathryn Janeway and B'Elanna Torres - and say a story where at the end they find the solution that "Oh, we need to use a reverse ion beam! We've been using a regular ion beam this whole time!". In the latter there was really nothing else to the story.