I'd suggest just to sign up; pick your battles.
When I graduated high school (back in '04; a year after Iraq) there was some serious talk about a draft. Thankfully it didn't get any further down the road then talk, but we all had our plans.
Mine was just to out my bisexuality; use DADT to my advantage.
Make your own plan, and I'd even come up with a back-up.
Here's some ideas. They're not fool-proof, but ideas to consider.
1. File conscientious objector status with selective services. If you do this before a draft, it's more likely to be honored then filing after a draft has begun. Also, keep in mind that you must state that you're against all wars in general, not just a specific war.
2. Be declared physically unfit for service. Get a physical, and see if there's some reason you could be exempt. Keep in mind that psychological factors can also exempt you from service.
3. DADT
4. Flee the country. Have a general plan as to where and how. It helps to have; make out of country contacts.
5. I got this somewhere, I don't remember where:
"Avoiding the draft may be as simple as not stepping forward. When you receive a draft notice report to where you are told and when prompted to take one step forward if you are there to join the military, do not. By asking you to step forward and take an oath, the military is fooling you into volunteering to join the military against your will. The 13th amendment prevents involuntary servitude. Just hold your ground no matter what the officers on hand say or do to you. Be prepared to be assaulted verbally and possibly physically. You will also probably be arrested on some charge or another and is usually not upheld by the court since the amendment was originally created to stop slavery."
6. If all else fails, and it's go into the military or prison, go to prison. Don't go to prison for dodging the draft, though; fuck some shit up. May as well have a reason for it.
Is God willing to prevent evil, but not able?
Then He is not omnipotent.
Is He able, but not willing?
Then He is not malevolent.
Is He both able and willing?
Then whence cometh evil?
Is He neither able or willing?
Then why call Him "God"?