The draft is just a mind-bogglingly terrible idea.
"Hey, let's force our youth into a highly dangerous conflict, whether they agree with it or not".
Anyone who thinks it would make the government any less likely to initiate a conflict is, at best, naive. They're not the ones who would be risking their lives, and I'd be shocked if most of them didn't find ways to get their own children out of it. As for public pressure, that worked so well for ending the Iraq war, which as we all know ended back in 2004.