Alternative Character Interpretation: The movie seems to imply that the real reason for Ramius defecting was less anger of his wife's death and more concern over the fact that the Red October's primary purpose would be to start a nuclear war due to its stealth. In that context, Ryan's comments about Ramius's wife are more that he no longer has any reason to go back home.
It could also be said (based on both the book and the film), that the death of Ramius' wife by an incompetent/drunk, Party-connected doctor got him 90-95% of the way there, then seeing the plans for the Red October filled up the defection meter the rest of the way, as he recognized how destabilizing this new sub design would be for world peace.
You can see the bluescreened landscape through Alec Baldwin's hair at the end of the film.
Also, the missiles are all-too-obviously animated. Which just goes to show that even Industrial Light and Magic can have an off day.
Technology Marches On. Inverted. The crew of the Red October is shown to be using flat-screen and touchscreen displays (note the absence of valves and keyboards) that are more than 30-years more advanced than almost all of what was possible when the film was made, and some of which is barely possible today (2016).