America isn't at War - America is at the Mall
But for this thought: While it's true that part of the disconnect between citizens and our military is due to the fact that so few people have military experience or even know anyone who is actively serving today, a larger military isn't going to help much. Even if we *doubled* the size of our military the totals would still be only a couple of percents of the entire population of this country. The (admittedly astute) observation I've put as the title of this post would *still* be true.
Even with a military doubled in size most Americans would have no experience with military service or military life.
We're probably better off looking at "America isn't at War - America is at the Mall" as a feature, rather than a bug.