I’m not a Christian, however I don’t think there can be a single answer to this question. I have some information on what one prominent Christian thinks. This is pretty long and maybe too much, but here goes.
I have a book, Crossing the Threshold of Hope, detailing the views of a well known Christian, The Roman Catholic Pope, John Paul II, on this subject. I’m going out on a limb here and will assume that the views of John Paul II represent a close approximation to the official position of the Roman Catholic Church on other religions.
In the chapter Is Only Rome Right?, my reading is that he thinks that, yes, only Rome is right. This opinion is buried in a lot of verbiage but I think that is what is said. The Pope leads into his answer to the question via an exposition on salvation and early in the chapter there is the following, “It is therefore a revealed truth that* there is salvation only and exclusively in Christ … Thus Christ is the true active subject of humanity’s salvation.[emphasis in the original] The Church is as well inasmuch as it acts on behalf of Christ and in Christ … ‘For this reason men cannot be saved who do not want to enter or remain in the Church, knowing that the Roman Catholic Church was founded by God through Christ as a necessity.’(Lumen Gentium I)*”
There is also a chapter entitled Buddha? in which it is clear to me that Buddhism isn’t something that Pope recommends… In it he states, “Buddhism is in large measure an* ‘atheistic’ system.*[emphasis in the original] We do not free ourselves from evil through the good which comes from God; we liberate ourselves only through detachment from the world, which is bad. The fullness of such a detachment is not union with God, but what is called nirvana, a state of perfect indifference with regard to the world.”
And he later has a caution, “These words indicate how between Christianity and the religions of the Far East, in particular Buddhism, there is an essentially different way of perceiving the world. … For Christianity, it does not make sense to speak of the world as a ‘radical’ evil, since at the beginning of the world we find God the Creator who loves His creation, a God who ‘gave his only Son, so that everyone who believes in him might not perish but might have eternal life’ (Jn 3:16).”
“For this reason it is not inappropriate to caution those Christians who enthusiastically welcome certain ideas originating in the religious traditions of the Far East [emphasis in the original]…”
Moving on the the chapter, Muhammad? there is this which indicates to me that the Pope isn’t enthusiastic about Islam. “Whoever knows the Old and New Testaments, and then reads the Koran, clearly sees the process by which it completely reduces Divine Revelation. It is impossible not to note the movement away from what God said about Himself, first in the Old Testament through the Prophets, and then finally in the New Testament through His Son. In Islam all the richness of God’s self-revelation, which constitutes the heritage of the Old and New Testaments, has definitely been set aside.” “He [God] is ultimately a God outside of the world, a God who is only Majesty, never Emmanuel, God-with-us. … Islam is not a religion of redemption.[emphasis in the original] … For this reason … Islam is very distant from Christianity.”
As to interfaith relationship with Islam the Pope writes, “… concrete difficulties are not lacking. In countries where fundamentalist movements come to power, human rights and the principle of religious freedom are unfortunately interpreted in a very onesided way - religious freedom comes to mean freedom to impose on all citizens the ‘true religion.’ In these countries the situation of Christians is sometimes terribly disturbing. Fundamentalist attitudes of this nature make reciprocal contacts very difficult.”
And finally the Pope addresses Judaism? with some rather astonishing statements. “… The time when the people of the Old Covenant [Jews} will be able to see themselves as part of the New is, naturally, a question to be left to the Holy Spirit.” In my opinion this says that the Pope hopes that God will help the Jews to see the light.
“We, as human beings, try only not to put obstacles in the way. The form this ‘not putting obstacles’ takes is certainly dialogue between Christians and Jews, which, on the Church’s part, is being carried forward by the Pontifical Council for Promoting Christian Unity.” And this section tells me that the Pope sees helping Jews to see the light as promoting “Christian Unity.” [emphasis added]
It certainly looks to me like Pope thinks Rome has the answer, Buddhism is to be avoided, Islam is troubling in more ways than one, and Jews are lost sheep who need to have their eyes opened so they can come into the fold.