Clearly an effort to "keep the procedures within the rabbinics" and out of public eye...
It's been 4 years, and that hasn't gone well --
The couple has are already been civilly divorced for 2 years.
Whether or not it's halachically permitted to hold on, it's not mentchlich to "chain" a woman -- why can't the get be given unconditionally.
there are no further negotiations needed for that marital status that it provides.
Divorce = get = move on with the necessary conditions to live daily/weekly.
For the rabbis to tell the public to be quiet after it's been 4 years just goes to show that they have no handle on it,
it's not a halachic prohibition to request public support -- perhaps they just want to avoid outside pressure.
Do believe the Torah was given on Har Sinai? and as the first mishna in Avos describes its lineage... now most of us try to keep to it!
That being said... Are you a male? Are you married? Do you have children? Do you believe a father has the moral right to see his children as they grow up?
If your answers were "YES" to all of the above, it would be easier to understand his position... Gital is being suspected (She made pretty clear publicly in her news articles, and her refusal to sign an agreement also attests to this) of planning to do the same move that many divorced women do: Try her darnedest to disconnect
their child from his father. All he really wants is a binding agreement that she wont try to minimize his portion of visitaion.
Note: Halachicly the father receives full custody of his child at the age of six, while the mother only gets visitation.
Nobody disagrees that the marriage is long over, and the Get should be given. But as halachah dictates, all arguments should be settled before the get is given.