It think it might be better to ask in
the BGS subforum, personally.
However, you might be wasting your time. Wolf 906 has the presence of a not-very-BGS-good player faction (an Empire patronage no less) and is a Hudson control system. It's also the base of two player groups (although their presence on Inara is limited.)
While I believe (I don't know - I'm not into Powerplay) that government type has no effect on fortification triggers
in control systems (I believe, again, that it's the exploited systems that matter for this), flipping it might be akin to kicking a wasps' nest, so to speak. You should probably talk to the player groups involved in the system to see if you can reach an arrangement with them.
Quid pro quo relationships are mutually beneficial - you might make a few friends and even get some help.
If you're confident that you can navigate that maze, then yeah - flipping a system is generally easy if you aren't being opposed. You need to run missions for Wolf 906 Gold Ring, then win any conflicts that might happen along the way. You will get into at least two wars as you do this - at least one with a non-controlling faction, and one for control of the system. Anarchy factions go to war with everyone and never enter into elections. Fortunately, you can use a war to boost influence past other factions: A faction can only be in one conflict state at any given time, but can leech influence from all factions in a system if their opponent is pushed to 0% influence in the conflict. You just keep entering the conflict zones, killing things, and handing in combat bonds. This will boost the influence of the faction you're supporting, and the influence has to come from
somewhere - influence is a zero-sum game calculated on a per-system basis.
(I would suggest FD to change the term anarchy to liberals)
That's hilarious!
You were joking, right?
Right?