I would think if you gain a LOT of weight, about 50 pounds over, and failed the drug tests, that they wouldn't want you. But I don't know for sure, or much about drafts.... if you had a choice of the branch, choose the air force and get a desk job. Focus on being fat the whole time, they hate fat people. Don't fail drug tests after you're in, or you go to prison (I was in and saw it happen).
Apparently if we turn into spies, or murder people, or get drafted .... we can just go to Russia. So, go to Russia. And, taking on the spirit of CA and TX, you could then protest like mad about the Russians not speaking ENGLISH to you. Stand on street corners with signs about how they should be speaking English, especially to your English-speaking kids while they're in school. The entire country really should be catering to you and your English-speaking family.
If you're not wanted for a crime yet, they won't be watching for you to fly out of the country. There's work, toilet paper, and housing in Russia. While they won't cave in and speak your language like (the other) Americans we live around would do for other foreigners who pretend they're not foreigners (never understood their logic), you could find menial work until the war was over. You'd learn to speak Russian over time and probably rather be there in the end.