There's not really any draft. Ask anybody who is a high position in the nuclear community (especially if they worked in the Naval Academy administration ... because I know a few who have) and ask them if anybody has ever been forced, against their will, to be in the sub community. They'll say NO. In fact, that community prides itself on being an all-volunteer community.
Forcing a midshipman to go to a sub interview is not the same as being drafted. They may be six short from their quota and come up with a list of twenty midshipmen to interview. But they only need six.
So, what's the deal with this sub draft? Who is being "voluntold"? What is actually happening is that they are short on their quota and they twist a few arms and get them to volunteer. Now, that's not what that midshipman might tell his parents. "They forced me!" he/she may say. But that's never true. They buckled under.
It may go like this: They find a midshipman who indicates a level of ambivalence about their first choice. Red meat! Then they blow some sunshine up his/her a$$ about what a perfect fit he/she would be for the sub community. "You're exactly what we're looking for! You may not realize it, but there's over 80 years of submarine experience in this room and we can see an officer who is perfect for the community when we see one. You're who we want! You'll have a great career. Can you see yourself in the sub community?" An answer of yes, or a shrug of the shoulders - "I guess so" - is music to their ears. To their way of thinking, you just said, "My first choice and submarines are really the same thing." So, when they assign you to subs, they consider you getting your first choice. You volunteered! Not only that, you got your FIRST choice! Congratulations! The midshipman comes out of that room with his head spinning not realizing what just happened. Sucker! You just volunteered and don't even know it.
If that doesn't work, then they'll go "bad cop" on you. "Don't you think you're being a bit selfish? We have over 80 years of experience in this room and we're telling you that submarines is the best fit for you. Do you think you know more about this than we do? (asks the Navy Captain with four stripes on his sleeve - surrounded by two Commanders.) Do want to serve yourself or do you want to serve the Navy?" The midshipman eventually buckles under and agrees that serving in submarines might be something that he could see himself doing. That's volunteering! That just became his first choice! Congratulations!
The way to avoid it is to stand your ground. Weather through the "good/bad cop" routine. It's going to be uncomfortable. But what can they really do to you? Nothing! Don't be ambivalent about your first choice. Say things like this, "I would be lying to you if I told you that submarines was my first choice. It is not. I assume that the exposure the academy has afforded me to the various communities was for the purpose of providing me the opportunity to determine what I thought would be the best fit for me. I cannot see myself having a passion for serving in submarines. I respect that you think I would do well in that community. You are looking at those papers and see a midshipman who is a perfect fit. But what you can't see on those papers is what's in my heart - where my passion lies. I'm not volunteering. If you're ordering me into submarines - I'll say 'Aye! Aye! Sir!" and do my best. But I'm not volunteering. My preferences are what they are."
That midshipman will not be selected! They never order them into submarines. Those stories are myths.
The hyenas will go after a much slower-running antelope. The way to avoid the sub "draft" is simply not to be the slowest running antelope. Stand firm, even while they're pressuring you. Be the last man standing. I assure you, some other midshipmen will buckle under and they will meet their quota. The Navy will survive.