Don't import anything to stations controlled by Lugh for Equality. If you want to help the Lugh freedom fighters overthrow the tyranny of the Federation, you should respect their embargo and trade only with stations controlled by the Crimson State Group. Trading with LFE just gives aid and comfort to the enemy.
If you want to actively support the Crimson State Group in enemy stations, then you need to do missions for them. This allows the oppressed people see that the Crimson State Group are the only ones who can get things done around here. They're the people you go to when you need a hand, while the less Federation fiddles while Lugh burns. And if you want to hurt Lugh for Equality, and if you're still neutral to them, then take LFE's missions, and search unidentified signal sources for someone wanting you to abandon them. This shows the people that Lugh for Equality are incompetent idiots, and can't trusted with anything.
I've been operating from Hartsfield Market, still under LFE's thumb, and if I've got the time, my usual session is this: First I take all the non-combat missions (do not do slave missions!!!) available at Hartsfield (both CSG and LFE) and then depart for Balandin Gateway to fill up whatever available space I have left with commodities for export. I then deliver all of CSG's deliveries, fill LFE's orders (if any) and start searching USSs for someone wanting me to abandon LFE's missions. If I don't have any CSG missions requiring me to search other systems, I do it in Lugh, otherwise I kill two birds with one stone, and hope I can abandon LFE's missions before I either finish CSG's or run out of time. If I run out of time, I abandon those missions. (Reluctantly with the CSG, which is why I rarely take those kind of missions). I then fill CSG's orders, vagabond trading along the way. At the last stop, I fill up my remaining space with commodities for import. Back at Lugh, I first stop at Balandin Gateway to sell my imports, then return to Hartsfield Market to turn in my missions.