I'm not sure bringing the help with you is that realistic. it would be hard to convince people they need to work to earn their keep when all the resources you have to offer them are already in the bunker. why wouldn't they just kill you and consume your (likely disproportionate) share of the provisions? your leadership skills aren't worth much in a small bunker.

the only way I see this working is if you set up the security people as a privileged class so they aren't incentivized to side with the common workers to overthrow you. there's probably a minimum scale (ie, number of people) needed for this to be stable. it would still be hard to prevent the security from realizing they could just kill you and add your share to their own.

in a weird way, an (ex)billionaire commune might be the only viable bunker society.