I never thought fatherhood was spiritual warfare until I read the following quote by Owen Strachan
Satan has been warring against men since the garden. He wants us to be bad dads. He wants to snare our children and send them to hell. He wants us to neglect them, even for expressly positive ends, and to make them bitter against us. He will give us all the help we need to accomplish this end…On the other side of Satan, with all people, men or women, Jesus Christ stands and calls us to take up our cross and follow Him, denying ourselves, shirking our sin, aggressively taking dominion of our lives and our world to advance His kingdom and spread His gospel. Through His awesome Holy Spirit, He waits to empower us. He searches the earth for men (and women) who will lay their lives down for Him. He gives us local church accountability, exhortation, and encouragement so we can do just this.
You should check out the post that I linked to above where Owen lists temptation that are common to fathers.