It's always unfortunate to see a question go unanswered.
The short answer is no, there is no real connection of one to the other.
The gita is however what I consider an important tool of investigation into reincarnation, and the spiritual self realization/control ideas necessary for advancement.
The Hindu will fight, and so will the Zevist.
Some of the how's and why's can be found in the gita.
Some here don't recognize it, as parts are considered corrupted and that's an accurate assessment.
But there's some truth there as well and should be considered must reading for any true Zevist.