of course scotty would beam a new farm of servers to the sight after he replicated it. He would tell kirk it will take 20 hours, but in fact it only took 5. Then he would write a new program and share it with the devs in the past so they could make a bater game. Then one day he would play the game and get sucked in to the game buffers and be stuck there till some wow head realeases him years after he was 'pose to be dead. That's what scotty would do.
Captain James T. Kirk would probably sleep with the Borg Queen to get access to the Collectives hive mind, and use that to bolster server capacity. But then we would have all those drones running around trying to farm gold pressed latinum.