How 'unconscious' should everything take place? I can tongue RI and I have a feeling that if I play everything this way, my improvement will be much quicker, how 'bout that?

Look also at question 16. It can be potentially dangerous to do so. What you are trying to do, if you do as desrcibed is a direct embouchure change. One of the big advantages and IMO THE most powerfull thing about BE is that it is indirect. Your lip muscles get a chance to incorporate and get used to different movements. If you do this too fast, you risk total breakdown. The best advise I can give is: be patient and if you play music, do it with what feels best at that moment. Chances are that after a couple of months this might not be your 'old' embouchure anymore.