Are there choices that a game shouldn't give a player? (Was: Are games inherently trivializing?)

I’m writing a game Unspoken (WIP, Demo Ver. 0.0.2) with terrorism as a major theme. Thinking about the motivations, affiliations and natures of the potential terrorist groups, I got to thinking about whether or not the inclusion of certain groups (even only in likeness) would be considered offensive to any of the great members of this community. I personally am 100% free speech, and believe saying anything that doesn’t do any physical harm must be protected speech, even if I disagree with it.

So, CoG community, what crosses the line into offending you? If my game contained references to an Islam-affiliated terrorist group (alongside Tea Party groups, anarchists, other groups), would that offend anyone? What is okay to put into your works? Curious on seeing what y’all think.