There is a saying "it takes two to tango". It also takes two to break a marriage.
So far you have only blamed your wife for the breakdown of your marriage. From your extensive reading and analyzing of statistics on dodgy websites, you have determined that your wife must be mentally ill and going through a MLC, and her hormones have made her crazy. Whilst these may possibly be contributing factors in her decision to leave you, you have missed another more likely possibility out .... it is clear by your postings and reactions to others posts, that you are controlling, arrogant and stubborn, these traits will have most likely have pushed your w to the edge of sanity. So perhaps what your looking at is not a MLC but a Cld Crisis?
Um ... here is a bit more reading for you .... you played a role in her leaving and her actions to remove the kids from you and until you accept that and change the traits you have that contributed to your xw unhappiness, then there is no future and will never be a future for you and your xw together.
My h and I would have never got to the point we are at if BOTH of us did not acknowledge that part we played in breaking our m. We would have not got to this point had WE not changed the things about ourselves that were causing us to hurt each other. You have seen that a reconciliation can happen, but you are not acknowledging that working on yourself HAS to take place before that can be a possibility.
To re- cap: To have any chance of your xw being interested in you again, you need to look at yourself, the ugly truth of how you treated your xw during your m, how you treat those around you - we are strangers to you, and you treat us with disrespect and arrogance - I would start there.