Emotions are wrongly, I believe, seen as separate from intelligence.

Most don't understand what emotions are, and overvalue their intuition and feelings - even though they don't know why they do. Intuition is great, if one has the right experience and wisdom to apply - without experience, or with "internet experience" - intuition is heavily flawed.

And if we make a large shift into using AI for everything, it will be nails in our intelligence coffins.

Which is precisely what I think is happening now. We are so stupid, we think we are being smart.

that tinkering with genetics is playing god

This is how we got here already - genetic mutation. Who is to say it won't happen again for the better :)