Your list of the various orders of priests and nuns has nothing at all to do with denominations, whose differences are based on dogma and doctrine. Comparing Catholic religious orders as if their Catholic doctrine was not the same is like suggesting that because the Army, Air Force, Navy, Marines or Coast Guard do things differently that one of them was somehow not under the Commander in Chief.
The comparison of discipline to doctrine simply falls flat on its face, although it's nice to see the various orders in one list.
Baptists, Presbyterians et al are under one Commander in Chief. Someone we like to call God.
Roman Catholics have added beaurocracy.
I'm not sure that I would agree. Each order has rules and regulations. And I never even went into the Latin Church, the Greek Church, etc. which all have widely different procedures. Certainly the Greek and the Latin Churches feel they are together (somewhat), yet the Greeks no way accept the rule of the Pope. We could go on and on about various Catholic Churches who have pagan rituals or openly flaunt the directives of the Church on things like abortion. It is disingenuious for Catholics to suggest that they are "one big happy family" and are not like Protestants at all. In truth, there are just as many divisions within the Catholic Church as there probably are with Protestants.