> Consciousness does influence the universe...
I'm not sure I'm following the argument. Let me phrase it this way: can you devise an experiment which will determine if a given entity is conscious?
> I believe someone called that idea "quantum immortality"
(Thanks for the term; I'd heared the idea expressed before, but not that phrase.)
Skimming the wikipedia page, I didn't find any of the counter-arguments to be particularly compelling.
So, while I'm not sure how deeply I believe it (simply because it feels very unintuitive -- and I'm definitely not about to try to kill myself to test it!†), I agree with you: it really does seem like the inevitable conclusion of these ideas; I also agree it's somewhat terrifying!
Especially when you consider that as time goes on, probably in the majority of the universes where you are alive, you are just barely alive, in great pain. The only consolation is that, perhaps, you'll still have enough awareness to think to yourself, "incredible that I haven't died yet -- I guess many-worlds really is true!"
(† Even if you are knock-down 100% convinced in quantum immortality, you probably still don't want to engage in wildly risky behavior or try to kill yourself -- because you will be killing yourself in a large number of universes, and causing a lot of pain to your loved ones in those universes. A similar argument could be applied to engaging in any sneaky behavior which would cause significant pain if discovered.)