Looks like I've managed to resolve the issue.
From what I've gathered, the Turrets at the end of Vault 11 are the same faction as The Lucky38, causing them to attack you on site.
In order to stop them from attacking you, enter the following into the console.
setally 001267AB 0001B24A 0 0
OK, I loaded my game to be just outside the strip, opened the console, typed in the following...
setally 001267AB 0001B2A4 0 0
Then entered the strip and spoke to victor, then approached and entered the Lucky 38 Casino, and yay, the securitrons did not attack me.
So I spoke to Victor and went up to the penthouse. Exited the elevator and spokje to Jane, exhausted all avenues of speech, sold 3 snow globes.
I then head down to the mass of screens to speak with mr house.
Unfortunately, I cannot speak with mr house. The cursor recognises the screens as Mr House, but when I try and interact, nothing happens...
I found on Nexus a mod, called Vault 11 House Wins Fix.
The description for which reads...
"Some of you may have noticed that when you complete Vault 11 and kill the turrets and Robots at the end, you fail the quest, "The House Always Wins". This is because the turrets in Vault 11 were affiliated with the Lucky 38 casino, which must have been an oversight by Obsidian.
This patch removes the turrets' affiliation and allows you to complete Vault 11 without fear that Mr. House will get his revenge for destroying his arbitrary turrets. "
Unfortunately I have no idea how far back I would have to load, in order to be able to do vault 11 again. This may help others, but I am too far into the game to be trying to load back. I just need another console command I can type in, to get Mr House talking.
I am level 30 and have visited every location on the map, saving the Strip for last...