Is this united order equivalent to capitalism or socialism or something else? Like socialism, societal leaders had control over the collection and allocation of resources. Like socialism, redistribution of wealth was the standard.
But there are at least two critical differences between the united order system of government and socialism. The first is freedom of choice. Members of a united order must voluntarily become a member of that society. The government in the united order was not upheld by a force of a dictatorial regime--not even by democratic majority rule. Rather, every single family in these societies chose to accept and uphold this system of government of their own free will. Those who did not wish to be involved in such a system were not required to do so. This universal faith in and adherence to the leadership of the united order is the glue that holds the society together. No force necessary.
A second difference is that leaders of a united order system of government were inspired of God as to how to collect, allocate, and otherwise manage state affairs. Socialism relies on the wisdom of men for these decisions, and by so doing often fail to prepare adequately for the future, create inefficiencies, and even become corrupt and seek to serve themselves and their friends rather than those they are supposed to be serving. An inspired leadership has at their request the wisdom of God Himself, and can thereby avoid such pitfalls and create an efficient and prosperous society, as long as their constituents continue to choose to live in a united order.
What about capitalism? Similar to capitalism, members of a united order can own personal property. But capitalism places trust in self-interest to protect freedoms and distribute resources, whereas a united order places their trust in God for both of these.