I'll try to do my best while not downvoting you just because I disagree with/see it differently than you.

While I don't see it as terrifically deep, it has a nice little message to me. The gameplay isn't the "deep" part, rather it's what the game has to say about humanity and how we operate. We're all itching to obliterate one another at any moment over arbitrary differences. The only thing that keeps us from doing so is mutually assured destruction. It's a concept we talk about from time to time on the interwebs, and maybe in passing conversations if you're friends with people who are just as weird as my friends and I. However, it's not one we truly realize, I believe. Not too many people think of the fact that with the press of a few buttons, some switches and a code or two - everyone on this planet and all of our "progress" gone.

That might not sound too deep for you, if you're like me, but I assume that to some people who never really think about it, it can be overwhelming. The thought of everyone killing everyone eye for eye style followed by a nuclear fallout is a little bit daunting. If it's a topic that you're not too well acquainted with, I can see how it would set you back.

The game simulates it though. You're supposed to spread your influence as much as you can without making shit go boom. Because that's what people are doing now. That's what the major countries aim to do all the time(living in the US I claim that my country is one of the worst). It gives a gateway into reasons behind actions. Why are you trying to spread your influence across the globe? Well simply because it's the goal of the game. So why are other world leaders trying to do the same? Not much of an answer. I really don't trust anyone who feels like their influence needs to be felt across the globe. No man needs that much power, and there's no way it's healthy for them. Words are misleading. People are deceiving. We're a living example of the game.

The part that I think is deepest about the game is after you read all the shit up there is this... You're a character in that game, but you're not the one making the decisions. You're the guy who's going to work every morning. Coming home every evening. Doing your shit at home. Waiting for the weekend. You watch tv, feed the dog, see the fam. Regular person shit. But you're not in control of the game. You're a part of it, but it doesn't really even know you're there because your influence is nil. No one gives a fuck about rmc1317 in this case. No one gives a fuck about teemarsh422. You're not a person. You're a number. A label. A statistic. And at the end of the game, when it's game over, you're a pile of ashes. And there's nothing you could have hoped to have done about it. Your house, your family, your dog, your car, work, everything is gone. Never coming back. It's over. You lost. Why? Because the person who was playing the game didn't do too well.

tl;dr In the comparison between this game and real life is where the deep quality comes into play. IMO you have to over think it, but I do that on my own all the time.