Would the offspring of Angels and human women have power over the rest of us??

Yes of course just like the first time, but it was a disaster it angered GOD to the point that HE descended from HIS throne and then came the Flood. But before that GOD made the Nephilims kill one another in battle as HE had their fathers watch, after that the LORD tied the fathers up in a desert until Judgment Day.

But having said this, they (angels fallen) have contaminated us with demons and the serpent Power.