Is it even possible to beat the game and become Savior of the Damned through Karma too?
It almost feels impossible, like when your given the option to either destroy the Brotherhood or
follow Mr. House, Because if you kill them or steel the keycards to initiate self destruction you lose karma
both ways? Wich leaves you with the only option unplug Mr. House without killing him?
First off, If I did that would I lose karma, and then also would I be able to continue on through the many more necessary
missions?

I'm not sure how much karma you lose, the real consequence is losing reputation with the BOS. You can always make up karma by killing feral ghouls.

Can you still beat the game by following the brotherhood of steel and not mr house?

There is no BoS endgame, per se, however if you follow the NCR line you can ally the BoS and NCR despite Colonel Moore's objections.

Alternatively, if you go with Yes Man you can tell him to ignore them, in which case they stay in the bunker minding their own business.

Going with either Mr. House or Caesar's Legion will require the destruction of the BoS, which is probably not a good idea, although there are a number of ways to boost your Karma back up if you do decide to do so.

What are the best ways to boost karma?

I thought you didn't take a karma hit for destroying the BOS.

They gave me a karma hit all 3x i snagged the key cards to activate the self destruction sequence,
and then when activated I was labeled The Devil himself?

Huh, this is odd.. I did a full Legion playthrough and still ended up with whatever the rank was for Very Good at that level... I didn't give a flying eff about karma, just reputation, so I stole and lied to my heart's content.

If you need a boost badly - go kill some fiends, I guess.