Uhh..I make political statements all of the time at work. I'm in no danger of being fired. The company in the offices next to us actively campaigns for things like toys for tots in their offices. People wear political statement t-shirts all through the building which has several different companies.
The causes mentioned like fighting breast cancer are actively supported DURING games. Pink sneakers, lapels, ribbons on the uniform, etc. You have ceremonies at games for supporting the troops. So I'm not sure what you're accurate about it "being outside the game".