The statements you relate are mostly wrong. Certainly, there is no comparison between God, the Creator and Satan, the creature. And the Church strongly rejects any theory that speaks of two equal powers, one for good and one for evil. God **permits **evil for his own good purposes, but evil will ultimately disappear to give place to a New Heaven and a New Earth, as stated in the book of Revelation.
Here is the teaching of the Catholic Church, as stated in the Catechism of the Catholic Church :
**II. THE FALL OF THE ANGELS **
391 Behind the disobedient choice of our first parents lurks a seductive voice, opposed to God, which makes them fall into death out of envy. Scripture and the Church’s Tradition see in this being a fallen angel, called “Satan” or the “devil”. The Church teaches that Satan was at first a good angel, made by God: “The devil and the other demons were indeed created naturally good by God, but they became evil by their own doing.”
392 Scripture speaks of a sin of these angels. This “fall” consists in the free choice of these created spirits, who radically and irrevocably *rejected *God and his reign. We find a reflection of that rebellion in the tempter’s words to our first parents: “You will be like God.” The devil “has sinned from the beginning”; he is “a liar and the father of lies”.
393 It is the *irrevocable *character of their choice, and not a defect in the infinite divine mercy, that makes the angels’ sin unforgivable. “There is no repentance for the angels after their fall, just as there is no repentance for men after death.”
394 Scripture witnesses to the disastrous influence of the one Jesus calls “a murderer from the beginning”, who would even try to divert Jesus from the mission received from his Father. "The reason the Son of God appeared was to destroy the works of the devil."274 In its consequences the gravest of these works was the mendacious seduction that led man to disobey God.
395 The power of Satan is, nonetheless, not infinite. He is only a creature, powerful from the fact that he is pure spirit, but still a creature. He cannot prevent the building up of God’s reign. Although Satan may act in the world out of hatred for God and his kingdom in Christ Jesus, and although his action may cause grave injuries - of a spiritual nature and, indirectly, even of a physical nature- to each man and to society, the action is permitted by divine providence which with strength and gentleness guides human and cosmic history. It is a great mystery that providence should permit diabolical activity, but “we know that in everything God works for good with those who love him.”
The Catechism can be consulted at