Yeah, you're right. I always get that part wrong. My faux pas.Northern Ireland is part of the UK. When the UK leaves, it all goes at once. Unless something magically changes in the next couple months.
Perhaps you are thinking of the Republic Of Ireland, which is a separate country, and is, and will be, part of the EU.
But back on topic, I have all the Infinity PDFs, but I'm getting some of the books. (Outside of the Core Book, I have a hard copy of that.) I'm definitely getting the Silk Producers Book. I can't recall the faction name.