You are willing to admit there are two forces at play right. any jet effect and the conservation of momentum? In other words any amount of force actually absorbed by the skull that is not blown out works to move the head forward. Is that in your calculation
Jet effect illustrates conservation of momentum. Jet effect and conservation of momentum are not two different principles. Force is not absorbed by the skull. A force is applied to the skull by the incoming bullet and moves the head forward. That forward momentum of the head, however, is overcome by the much greater rearward recoil momentum from the explosive head wound experienced by the skull (and body to which it is connected). The forward momentum imparted by the incoming bullet to the entire head, including the contents that are spewed from the head. So that momentum adds to the momentum of the ejected contents and reduces the rearward recoil momentum of the intact part of the head and body. But the thing to keep in mind is that the forward momentum of the exploding contents due to the release of a small portion of the bullet energy (pressure x volume = energy) is much greater than the original momentum of the incoming bullet. So the jet effect is more than enough to completely counter the incoming bullet momentum.
Did Alvarez allow for any consideration for the conservation of momentum in his equations for JFK's head shot?
Absolutely he did (from his paper which is reproduced at 1 HSCA 434):
"I concluded that the retrograde motion of the President's head, in response to the rifle bullet shot, is consistent with the law of conservation of momentum, if one pays attention to the law of conservation of energy as well, and includes the momentum of all the material in the problem. The simplest way to see where I differ from most of the critics is to note that they treat the problem as though it involved only two interacting masses: the bullet and the head. My analysis involves three interacting masses, the bullet, the jet of brain tissue observable in frame 313, and the remaining part of the head. It will turn out that the jet can carry forward more momentum than was brought in by the bullet, and the head recoils backward, as a rocket recoils when its jet fuel is ejected."