1. Is it possible to anchor them to other things?
2. Is it just me, or is the magic causing most of the group's disorder?
1. Depends. Wherever you stick it, you're going to have to tie it down really hard to get it to stay. Some things naturally work to provide anchoring points, I'd guess - I would advise against trying to stickytape your mind into the ocean.
2. Which is why I didn't make a big deal of the "mages are agents of order" thing. I fully expected this game to be a general roller-coaster of chaos thanks to my petulant magic system. Really, it's an extraneous detail. In-universe, I guess you can say that since the heavens have just been turned upside down, then a little chaos is going to find its way into every damn thing. Ultimately, it's not magic
itself that creates order, it's the person who's using it. Mages are simply more likely to end up working as policemen, librarians, advisors, guides - they're generally not the ones at the forefront of a revolution. They may advise the revolutionaries and may get fired up about it, but they don't lead revolutions, generally because they tend to favour far more moderate and tempered approaches to problems; revolution is not a moderate response.
Honestly, don't worry about it. It's not something that works in this game, mostly because I haven't placed in D&D alignments
and because I want the game to be rather chaotic and fun. But the books, where I am literally in full control of what happens?
Then I can make it work.