Its an interesting idea - BUT -
It's worth turning on the PowerPlay overlay in the GalMap.
Mostly the Alliance is in the "North" and Far North. Kumo and LYR in the Far South; Empire in the South, and the Feds between the Empire and the Alliance.
This means that most Alliance interaction happens with the Feds. The only Alliance vs Empire wars I've been involved with were out in the Witch Head.
So expanding an Alliance Faction that Far South into LYR territory would be a multiple years long project. I don't think that would be on anyone's agenda.
We did try a similar project that ran nearly two years.
Project Apollo or
'CAKE' - the ultimate goal was to expand an Alliance faction into Sol!
Pretty ambitious. - It became clear relatively early that expanding inbound to Sol was blocked to Player Groups (Hutton Truckers had a few expansions that would have gone in), but it was still worth a shot as the faction we expanded across 70 light years towards Sol was not a registered PMF. We did get our test - we had an expansion that would have gone in, but it went to Luton 60 or whatever that one next to Sol is. On the way we took a Lore Rich permit locked system Ross 128. It was pretty weird. The week we were expanding in and most vulnerable to opposition was the same week that Ross 128 was discovered (In Real Life) to have an Earth Like World
https://www.eso.org/public/news/eso1736/
So we were pretty worried that someone would notice. They did once the war broke out, but by then we had a LOT of momentum, we could have faced a LOT of opposition and still won.
Ross 128 became the cornerstone of our Alliance push South into Fed space.
After we took Ross 128 for the Alliance, Earth Defense Fleet took up arms for the Feds and we had a 4 month war with them, eventually fighting to a standstill. It was pretty tough on both groups and took up everyone's resources - game time and manpower. A treaty was negotiated. My understanding was that we wouldn't push any further south, but that the "Green Corridor" of Alliance systems reaching down to Ross 128 would remain.
I don't know how much of that corridor is left or regained.
After Lave we were under attack by botters for several months and it decimated our systems, including many "Green Corridor" systems.