It’s one of the things that keep me on Firefox - it’s simply more usable!
(Personally, I’m convinced Google does it deliberately to gain more user attention time on their search service.)
The idea of having subscribed indexes is interesting! I often just want to search Wikipedia. The idea of indexes from friends or family sounds more like “trusted sources”, or the web of trust, or even GPG key verification. You’re saying I trust these sources more because I trust these people more.
I think doing this slightly in the background automatically (vs actively asking your friend for recommendations, or looking at a bloggers recommended materials page) could make the internet safer. It risks creating “bubbles”, but these should be a lot less significant than your own personal (Google) search bubble.