Well, here's at least how I
think this would go. Bear in mind, I haven't played in YEARS.
Borg Queen (Shades of Gray) gaining Leadership from her own skill seems akin to
Lt. D'Amato gaining Geology off
Classic Tricorder, which according to the Glossary under Skills - Modifying becomes Geology x3. So based off that ("If a skill is already present in the skills box, the level of that skill is increased."), I think that would bring the Queen to Leadership x2 and Treachery.
Then we bring in
Nine of Eleven and
Second with the Queen. Interlink would share Leadership x2 with the hive present, and then Second would double it on other drones. So here's how I THINK it would end up if you just had Queen, Second, and Interlink Drone.
Queen - Leadership x2, Treachery (from herself), ENGINEER, Astrophysics, Physics, Youth, Stellar Cartography (shared from Second)
Second - ENGINEER, Astrophysics, Physics, Youth, Stellar Cartography (from himself), Leadership x2, Treachery (shared from Queen)
Interlink Drone - Leadership x4, Treachery x2 (shared from Queen, doubled from Second), ENGINEER x2, Astrophysics x2, Physics x2, Youth x2, Stellar Cartography x2 (shared from Second, doubled from Second). Leadership and Treachery could be moved from the front of the list to the back.
EDIT - This is assuming I'm right in that you share the skills with Interlink before doubling with Second (the idea being that you have to know what skills a drone has before you can double them) - if the doubling happens first, then the only change would be halving all of Interlink's skills.