Okay, to revisit your original question. If you reaaaaaaaaally wanted to pursue this, here is how you'd go about it...
Every commander gets a pot of money. This pot of money should be less than or equal to the value that the American people place on the unit achieving its mission. So assign someone to figure that number out. The mission is written down fairly plainly in a statement, but there is a bit of wiggle room. Now, every sailor in the unit has an hourly billable dollar rate equal to ((salary + BAH) / 1,920) * multiple, where your "multiple" is whatever overhead you want to add for all the Navy training, equipment, health care, office space, oversight/management, insurance to cover stuff this person might later break/destroy, etc. Pick a number between 2 and 10. Sailors can have different multiples, depending on care/feeding/training, so maybe assign someone to figure that out. Then, each year, the unit commander can hire whatever mix of sailors at whatever staffing arrangement he/she wants to perform the mission. Maybe the commander wants to have 1 LCDR and 20 PO3's do the job. Maybe the commander just wants 8 really sharp, motivated LTs. The only constraints are that the commander has to meet the mission on time, and below cost ("meeting the mission" also includes all your standard ethics, core values, national defense, team player, joint-ness type stuff). Maybe you bring in a LCDR for a couple months to plan out the work, and then that LCDR goes off to another mission, and you finish the job with junior enlisted. If a sailor is not picked by the commander to do the mission, that sailor is free to find another commander in another unit with another mission. Caution: This becomes kind of a free-for-all, with lots of "butt hurt" for personnel. Any sailor without a mission is considered "on the bench" and the Navy/taxpayer doesn't get any ROI for carrying that sailor's costs. If a sailor is "on the bench" long enough because no commander wants to hire him/her, the Navy can invol sep that sailor.
Here's the kicker: Every year the commander has to find a mission and persuade the American taxpayers that it's a worthy mission... maybe 2% worthier than it was last year. If it's a great deal worthier mission, and you can persuade the resources to rise with the mission importance, then next year you have a bigger budget when staffing your force to meet that mission. Oh, and pretty regularly, the USAF, USMC, USCG, Army, NASA, CIA, DIA, and maybe even the USPS or IRS will come along and try to persuade the American people that they can do your mission faster, better, or cheaper than you can. Good luck keeping all of your SUPPOs when GSA comes along and undercuts your costs by 50% because they have a far lower "multiple" - remember you chose this earlier, and now you have to live/die by it.
/end awkward allegory to a management consulting firm
Again, this would be a terrible, no-good structure. Not recommended for any military service... or really any life-or-death organization (firefighters, rescue squad, etc.)