Is the wife considered divorced and an apostate for helping her atheist father set up and operate television sets and the internet, knowing the ruling on assisting a disobedient person in his disobedience?

The accusation of apostasy against your wife is incorrect. Her assisting her father in watching forbidden things is a sin, not an act of disbelief (kufr). A Muslim is not declared a disbeliever إلا after the fulfillment of conditions and the absence of impediments. Your wife remains under your marital bond. She must repent from aiding her father in wrongdoings and strive to advise him.