You may be amused, but in Europe the technical details of a car engine, transmission, breaks, etc, and how to perform a quick repair have been part of the drivers test (and was still, when I made mine). It was a three parts test, involving a technical part, a legal part, regarding rules and laws regulating traffic, and, finally, a practical test. (Similarly, understanding how analog radio works was part of high school curriculum.) This was based on the conviction that dealing with a technology also afforded a basic understanding of it, not the least for legal/liability reasons.
Analogously, just making that red "No SSL" alert "go away" may be not enough. It may be preferable, if users were to understand what this is and why it is important, what the possibles consequences are, etc, if they would be actively looking for this, if they would and could confirm the mode of their interaction. Not the least for legal/liability reasons. (Teach them first to never engage in any critical interaction unless there's a verified, secure connection as indicated by such and such icon or signal. Facilitate them in asserting this. Then put on an additional warning light, but don't replace the former by the latter. There's no "easy mode", no "My First Sony" – which was, by today's standards overly complex, anyway –, when it comes to your livelihood.)