It's also common policy in companies across the globe to prohibit employees from posting negative opinions about the company in public places, including Facebook, Myspace, Twitter... if you're caught, it can mean termination. Ohnoes, a violation of the First Amendment!
And since that's about what you do in the off-hours too, I find it to be more of a concern than this story. Which is to say, this story isn't a concern at all. Use of company property is entirely separate from intrusion into activity in the home. Good ol' unlawful searches 'n' seizures amendment.