As you know, there is no conscription in the US now. After the "discipline problems" (read fragging of officers) and political upheaval caused by the draft during the Vietnam war, elites around the world have generally chosen capital intensive, mercenary armies. Given the political problems the current regime in the US already has, I wouldn't expect them to reinstitute conscription just yet. But if they do here's a list of ideas men around the world have used to avoid conscription:
- Flight. The simplest, most obvious solution. There are even people who run away to the US (e.g., young Taiwanese, Israelis, etc.) I suspect this is much harder than it was in the Vietnam era. Very few countries will accept political refugees these days. This means that you will have to apply as a regular immigrant. Not only is that difficult for men of draft age, but it can be a very slow process. Of course you can always live underground in a foreign country, but that's not so easy.
- Extreme weight gain/loss.
- Self-inflicted wounds. Shooting yourself in the foot -- literally.
- Deliberately failing psychological and/or intelligence testing.
- Pissing on examiners desk.
- Drinking a litre of soy sauce before physical.
- Prison. Not so easy to pick just the right crime, and prison seems harsher than it used to be.
- Revolt.
There's more, but that's what comes into mind right now.