nice theory, although it falls short considering beastmen thought humans cant move ganmen.
beastmen use electricity to move ganmen.
for kamina to move that ganmen at the begining must have required spiral power, theres no other way he could override the settings.
although i imagine it was a miniscule amount.
and regarding the Giga Drill Breaker?
Simon was the first person to produce a drill, so it makes sense that kamina only amplified what he saw in simon.
maybe in fact, all along he was only doing these things to show simon the way, which is why he was able to reach those extents, and why he was able to lay his life down like that when simon went emo.