I had the experience of eye gazing with a woman this fall, and the moment we saw each other, we both had the experience of "this is my husband/wife" -- we dated for a couple months, though she had a bf so that was sort of tricky and I decided I needed to take space to let her sort that out.
As for the questions, most people have a very low level of intimate conversation -- Level 1 (of 5), where they mostly discuss facts about things, the world, etc. This moves them up into higher level intimate conversations.
Also, a big part of attraction is feeling safe, on a deeper level, so actively moving to deeper levels and being vulnerable together will bond people.
Will this work if you hate the person or have no attraction at all? Maybe not, but it can be a huge catalyst for newly dating people or long term couples.
In my workshops I've had women say they had more sustained eye contact in 3 minutes than they've had in their entire 20 year marriage. Powerful stuff.
Thanks for the feedback!