Good lord, they still do that?
When I was living in the US as soon as I became a green card holder the INS kindly registered me for the draft without me knowing (I didn't know it was a requirement). I got the card in the mail as a surprise. Then a short while later 9/11 happened and John McCain was on TV saying a draft could not be ruled out.
However the INS did me a massive favor. Failing to register for the draft is a failure of good character and means you can't apply for citizenship until a few more years have passed (have to have so many years of good character).
So, "yeay" for the INS.... I guess....