Back during the President Bush years I kept running into people claiming the Republicans were the ones wanting to reinstate the draft. One person (my daughter’s Judo teacher) even went so far as to say “you lie!” when I told him it was a Democrat. I brought him a copy of a news article showing it was the Dems. He never brought it up again.
Of course. Once he learned it was a Democrat the huge, burning issue was no longer of any importance.
History shows that with the exception of the Civil War conscription in the U.S. has been enacted/expanded under Democratic administrations. See Wikipedia for an overview:
Who ended the draft? Nixon in 1973. Who reinstated mandatory Selective Service registration? Carter in 1980. And of course most recently we've had Rangel's calls for a new draft.
Yet generations of students have been told (and blindly believe) that it is Republicans who will draft them. Just shows what poor marketers are to be found in the GOP.