>>719263731
The idea is that you could do soldiering without all the retarded shit on top like your government owning your body and soul. Them going around on patrol in formation, doing drills and saluting some war hero is literally just army LARP.
Only difference is that they trusted Big Boss not to fuck them over (LOL) and trusted both him and Kazuhira not to mismanage them or make them do heinous shit.
And really it was a very good place to lead soldier life, as you were often surrounded and trained by peers from top merc units, top special forces, and your commanders were highly skilled so nobody fucked around. Your inhouse RnD gave you equipment that far outmatched anything the governments would give you, you had top notch medical, and despite all that there were actually hot women all over.
If you mean Big Boss's ideals? He just wanted to keep fighting since soldiering was all he knew in life. Without Kaz he was ready to be a battlefield hobo. With Kaz he was on board with just running a cool unit doing tough soldiering, that's why it was mostly Kaz setting up the actual missions and dealing with clients.
Post-Diamond Dogs BB went full retard since he realized that people want him dead over nonsense and will try to destroy him and anything he creates out of spite, so he takes the fight to his main enemy, using whatever skills he has to do it. Thus Outer Heaven itself is less his 'pure' ideal, but more of a convenience thing, same with Foxhound.
Ground Zeroes MSF would be the purest representation of his ideals post-Kaz, and Portable Ops is what he'd be doing without Kaz's acumen. Diamond Dogs is closest to off-screen Outer Heaven, since the entire thing is majorly out of convenience on the way to find and take revenge on Skull Face, but Big Medic's more mellow personality greatly distracts from that with various nonsense like save the kids or save the animals.