Question: How can this concept be expanded to know if someone is reading my email, or has logged into my bank account?
It probably wouldn't work.
If it looks like obvious bait, the mice aren't going to take it.
But if the mice are automated and programmed to smash and grab everything they see upon arrival, that's where it's going to work. Example, you get malware that, upon installation, steals your passwords and bitcoins, and then proceeds to spy on you, or allows the attacker to run new payloads on your machine.
Depending on how many machines the attacker is infecting, the attacker might not have time to deeply scour your machine for more interesting stuff. Maybe he will, maybe he won't. And perhaps whatever you find interesting/important is not of value to your attacker. The possibility he will take your bitcoins is decent enough, though, that there is really no harm in leaving them there.
I am not sure it leads to a false sense of security. It is a heuristic, nothing more. Antivirus software is the biggest offender when it comes to a false sense of security, someone thinking about baiting hackers with bitcoins has thought about this a little more. No measure could possibly rule out an intrusion (short of staying offline), but it's also possible to employ reasoning and common sense.
According to a speech given at a recent DefCon by a self-proclaimed malware author who claimed to have switched teams, these malware authors and the websites that trick users into getting infected receive as little as pennies per machine they infect. Imagine that - you paid hundreds or thousands of dollars for your machine, and someone is willing to ruin it for under a dollar. It is only worthwhile, presumably, because they are infecting machines in bulk.
Meanwhile, bitcoin-mining malware is proliferating. An infection by such malware, too, is worth only pennies to whoever infected you.
If many machines are getting infected because the perps are willing to do it for small change, surely these same people wouldn't hesitate to swipe five or ten dollars from you. Surely a lot of them must lack the time and/or sophistication to go mining on your machine for files that may or may not be interesting to them, especially if you don't have software on your machine that signals something they want (e.g. POS software suggesting you're a cash register and have credit card numbers)... and may very well be more than satisfied with several instant dollars.