Nope. the one does not follow the other.
you forget that you and I are the ones who were not bred for intelligence. I know of no way to determine genetic intelligence.
Your theory is based on humans breeding animals to achieve desired traits and I know of no animal that was bred for intelligence.
In the dog world mutts generally appear more intelligent than pure-breds
Its best, I think, to just leave things alone considering that we have no idea what we would be meddling with