I would highlight to readers the impermanent nature of church doctrine. In today’s PC age I note the softly-softly ecumenical, “we are one”, “we worship the same God”, attitude of the Catholic Church wrt to the Muslims.
I prefer to believe people who have actually suffered under Islam, as I have.
St John of Damascus, the last of the Church Fathers, given the title Doctor of the Church by the Holy See in 1883 has this to say about Islam.
"John of Damascus (wr. 730s)
[John of Damascus, De haeresibus C/CI, 60-61 (pp. 485-486):]
There is also the people-deceiving cult (threskeia) of the Ishmaelites, the forerunner of the Antichrist, which prevails until now. It derives from Ishmael, who was born to Abraham from Hagar, wherefore they are called Hagarenes and Ishmaelites. And they call them Saracens, inasmuch as they were [sent away] empty-handed by Sarah (ek tes Sarras kenous); for it was said to the angel by Hagar: “Sarah has sent me away empty-handed” (cf. Genesis xxi. 10, 14).
These, then, were idolators and worshippers of the morning star and Aphrodite whom in fact they called Chabar in their own language, which means “great.” So until the times of Heraclius they were plain idolators. From that time till now a false prophet appeared among them, surnamed Muhammad (Mamed), who, having happened upon the Old and the New Testament and apparently having conversed, in like manner, with an Arian monk, put together his own heresy. And after ingratiating himself with the people by a pretence of piety, he spread rumours of a scripture (graphe) brought down to him from heaven. So, having drafted some ludicrous doctrines in his book, he handed over to them this form of worship (to sebas).
[John of Damascus, De haeresibus, C/CI, 63-64 (pp. 486-487):]
They call us associators (hetairiastas) because, they say, we introduce to God an associate by saying Christ is the Son of God and God. To them we say that the prophets and the scripture have transmitted this, and you, as you affirm, accept the prophets. . . . Again we say to them: “How, when you say that Christ is the Word and Spirit of God, do you revile us as associators? For the Word and the Spirit are inseparable. . . . So we call you mutilators (koptas) of God.”
They misrepresent us as idolaters because we prostrate ourselves before the cross, which they loathe. And we say to them: “How then do you rub yourselves on a stone at your Ka’ba (Chabatha) and hail the stone with fond kisses?” . . . This, then, which they call “stone,” is the head of Aphrodite, whom they used to worship and whom they call Chabar.
[John of Damascus, De haerisibus, C/CI, 64-67 (p. 487):]
This Muhammad, as it has been mentioned, compoased many frivolous tales, to each of which he assigned a name, like the text (graphe) of the Woman, in which he clearly prescribes the taking of four wives and one thousand concubines, as if it is possible (story of Zayd is told; cf. Qur’an xxxiii.37). . . . Another is the text of the Camel of God, about which he says that there was a camel from God (story of Salih’s camel; cf. Qur’an xci. 11-14, vii. 77). . . . You say that in paradise you will have three rivers fowing with water, wine and milk (cf. Qur’an ii. 25, xviii. 31, xxii. 23). . . . Again, Muhammad mentions the text of the Table. He says that Christ requested from God a table and it was given to him, for God, he says, told him: “I have given to you and those with you an incorruptible table.” Again, he mentions the text of the Cow and several other foolish and ludicrous things which, because of their number, I think I should pass over.
[John of Damascus, De haerisibus, C/CI, 67 (p. 487):]
He prescribed that they be circumcised, women as well, and he commanded neither to observe the sabbath nor to be baptised, to eat those things forbidden in the Law and to abstain from the others. Drinking of wine he forbade absolutely.
[John of Damascus, De haerisibus, C/CI, 61 (pp. 488-489):]
He says Christ is the Word of God and His Spirit (cf. Qur’an iv. 171), created (iii. 59) and a servant (iv. 172, xix. 30, xliii. 59), and that he was born from Mary (iii. 45, and cf. 'Isa ibn Maryam), the sister of Moses and Aaron (xix. 28), without seed (iii. 47, xix. 20, xxi. 91, lxvi. 12). For, he says, the Word of God and the Spirit entered Mary (xix. 17, xxi. 91, lxvi. 12), and she gave birth to Jesus, a prophet (ix. 30, xxxiii. 7) and a servant of God. And [he says] that the Jews, acting unlawfully, wanted to crucify him, but, on seizing [him], they crucified [only] his shadow; Christ himself was not crucified, he says, nor did he die (iv. 157). For God took him up to heaven to Himself . . . and God questioned him saying: “Jesus, did you say that ‘I am son of God and God?’” And he says, Jesus answered, “Mercy me, Lord, you know that I did not say so (v. 116). . . .”
christianorigins.com/islamrefs.html
Church doctrines come and go, but the words of St John of Damascus should be a lesson - including to those who wrote the catechism.