I don't think stuff like that is really a technical problem. People make unwise decisions with their personal information all the time. Some people email their bank account numbers to Nigerian scammers. Some people post drunken pictures of themselves on Facebook. Technology can't stop that.
Unless you create an Apple-style lockdown on the platform, people are always going to be able to download trojan'ed applications from shady pirate sites and install them. Some people will also be unwise enough to give those shady applications full security capabilities.