Ok, the list itself, on its face, isn't terrible. There are a lot of good ideals being expressed. The whole thing can even seem a little redundant, because frankly a lot of those things are illegal and clearly unconstitutional.

So the problem comes when you ask the simple question of "Why?" Why does this organization want us to swear to refuse these 10 orders? Why not simply be an organization that promotes the constitution, and upholding our oaths? What specifically do they want to do, and what does it have to do with US service members.

Very simply, these men want revolution. Either on a large scale, (Such as a full succession of a state), or on a small scale (Such as declaring a compound that they own a sovereign nation).

They want the ability to declare their homes and community outside the purview of the federal government.

(Now, the why they want such a thing, probably has something to do with being allowed to fuck their own daughters... and yes the actions of the founder, leader and main organizer of this kind of group are important to understanding the groups intent)

The point is, they want US servicemembers to swear an oath, so that when the group declares something sovereign, and then declares war on the federal government, that said servicemember will not take actions against them.

That's it. That's the whole thing. There's nothing more to it. I don't know how I can explain it any better.