Yeah, it's funny how we work. Heck, read my comment, you can probably just as easily pick out my ideology. I wonder if linguistics has a term for that. It's something like "spin", but not exactly because it's not intentional or malicious.
It’s not a coincidence — you use “we” because you’re a progressive and progressives view themselves as part of the government. Conservatives use “they” because they (rightly) understand they’re NOT in power.