A summary of the two Vatican II documents and the statements of Paul the VI, John Paul II the great Deceiver, Benedict and Francis can be found here.
The Catechism of the Catholic Church issued by John Paul II the Great Deceiver states:
CCC 820 “Christ bestowed unity on his Church from the beginning. This unity, we believe, subsists in the Catholic Church as something she can never lose, and we hope that it will continue to increase until the end of time.” Christ always gives his Church the gift of unity, but the Church must always pray and work to maintain, reinforce, and perfect the unity that Christ wills for her. This is why Jesus himself prayed at the hour of his Passion, and does not cease praying to his Father, for the unity of his disciples: “That they may all be one. As you, Father, are in me and I am in you, may they also be one in us, . . . so that the world may know that you have sent me.” The desire to recover the unity of all Christians is a gift of Christ and a call of the Holy Spirit.
841 The Church’s relationship with the Muslims. “The plan of salvation also includes those who acknowledge the Creator, in the first place amongst whom are the Muslims; these profess to hold the faith of Abraham, and together with us they adore the one, merciful God, mankind’s judge on the last day.”
842 The Church’s bond with non-Christian religions is in the first place the common origin and end of the human race:
All nations form but one community. This is so because all stem from the one stock which God created to people the entire earth, and also because all share a common destiny, namely God. His providence, evident goodness, and saving designs extend to all against the day when the elect are gathered together in the holy city.
This is a restatement of the doctrines of Vatican II:
Lumen Gentium 16, November 21, 1964
“But the plan of salvation also includes those who acknowledge the Creator, in the first place among whom are the Muslims: these profess to hold the faith of Abraham, and together with us they adore the one, merciful God, mankind’s judge on the last day.”
Nostra Aetate 3, October 28, 1965
“The Catholic Church rejects nothing of what is true and holy in these religions. She has a high regard for the manner of life and conduct, the precepts and doctrines which, although differing in many ways from her own teaching, nevertheless often reflect a ray of that truth which enlightens all men. Yet she proclaims and is in duty bound to proclaim without fail, Christ who is ‘the way, the truth and the life’ (Jn 1:6). In him, in whom God reconciled all things to himself (cf. 2Co 5:18-19), men find the fullness of their religious life.
“The Church, therefore, urges her sons to enter with prudence and charity into discussion and collaboration with members of other religions. Let Christians, while witnessing to their own faith and way of life, acknowledge, preserve and encourage the spiritual and moral truths found among non-Christians, also their social life and culture.
“The Church has also a high regard for the Muslims. They worship God, who is one, living and subsistent, merciful and almighty, the Creator of heaven and earth (Cf. St. Gregory VII, Letter III, 21 to Anazir [Al-Nasir], King of Mauretania PL, 148.451A.), who has spoken to men. They strive to submit themselves without reserve to the hidden decrees of God, just as Abraham submitted himself to God’s plan, to whose faith Muslims eagerly link their own. Although not acknowledging him as God, they venerate Jesus as a prophet, his Virgin Mother they also honor, and even at times devoutly invoke. Further, they await the day of judgment and the reward of God following the resurrection of the dead. For this reason they highly esteem an upright life and worship God, especially by way of prayer, alms-deeds and fasting.
“Over the centuries many quarrels and dissensions have arisen between Christians and Muslims. The sacred Council now pleads with all to forget the past, and urges that a sincere effort be made to achieve mutual understanding; for the benefit of all men, let them together preserve and promote peace, liberty, social justice and moral values.”
“Therefore, the Church reproves, as foreign to the mind of Christ, any discrimination against people or any harassment of them on the basis of their race, color, condition in life or religion. Accordingly, following the footsteps of the holy Apostles Peter and Paul, the sacred Council earnestly begs the Christian faithful to ‘conduct themselves well among the Gentiles’ (1P 2:12) and if possible, as far as depends on them, to be at peace with all men (cf. Rm 12:18), and in that way to be true sons of the Father who is in heaven (cf. Mt 5:45).”
The United States Conference of Catholic Bishops has posted a page of statements of the Conciliar Church on Islam, such as John Paul II the Great Deceiver’s that he worships the same god as Islam does.
There are two inscriptions in the Moslem shrine of the Dome of Rock:
“The Unity of God and the Prophecy of Mohammed are true.”
“The Sonship of Jesus and the Trinity are false.”
This is a direct denial of the doctrine of the Trinity. The Koran also denies the Trinity.