In the case of a Draft you wouldn't be called up because of the free use of a video game.
In the US you are required by law to sign up for selective service by the age of 18 anyway so why not play the game?
Point is either way the Military will get your information and try to recruit you, happens every year just ask anyone that will be graduating this Spring.
As for the Draft no need to worry there are far to many young people proud of thier Country that voluntarily sign up for service to protect those of us who can't sign up ourselves, despite what the Media wants you to belive.
That is what is great about being American we DO have a choice
