Hi again Jovaro.
In answer to your question, very possibly the answer would be yes and the Qur'an might indeed have produced the same results. In fact, to be fair, Islam is as missionary minded as Christianity, though the techniques used are often very different, but the fact remains that many indigenous people's are turning to Islam when presented with the claims of Islam.
However, let me begin by explaining about the animistic lifestyle. Animism has as it's basis, an underlying belief in a spirit world and controlling gods who influence the physical world.
Therefore, when a missionary of any faith impacts that world with a new religion, the important issue is not to introduce a new religion, but to explain how the old understanding and the associated fears that belong to the religion can be overcome by the new religion.
As I said in my earlier post, what tends to happen is that indigenous people are very much like those in our own culture who are interested in, or curious about, but not yet convinced of the new religion.
In the end, what they are looking for is a power encounter.. much like those writing in the occult forums are looking for when they ask about the so called power of God. They are not convinced by mere words, but by observing the power of God at work.
Where do they see this power at work? Is it through the words or actions of the missionary? Yes, they may see miracles happening, but in most cultures this would not be hard to do, as anything which is imported from a western world culture, will appear miraculous to the world view of an indigenous person who has never left their village. ( I know this first hand from my life here where I live amongst Australian indigenous people)
No, it's not the actions of the missionary, or the words of the missionary which speak. Sure it opens the door to give them the right to speak. But, most conversions occur when the bible translators go into a culture and translate the bible into the local language and world view. So specific words are used for sin, or for love, or for prayer etc must be found. Our Muslim friends say this is changing the word of God, but infact this is not changing the meaning, but infact helping the meaning of the Bible be understood in it's original form in the language of the person who is reading it. (again, I have first hand experience of the way this affects a person. I can give an English Bible to a person here, and it will go unread, give them the bible in their own language, and teach them to read so they can understand it and see the difference in understanding)
The Bible is not then presented as a rule book or a legal code of behaviour. The Bible suddenly becomes THE word of God to a specific people group and it changes them from the inside out. The power play they need they find in the pages of the Word of God. They need and want a God who demonstrates power.
Can the Qur'an do this? On the surface it can but in the end, it's not the Book which does the converting, but the Holy Spirit. Man's greatest need is to hear, understand and respond to the pure Word of God. God's power is inherant in his word. It was through his word that He created order out of chaos, light out of darkness and life to a lifeless world. It is through His word, that He exposes what is in our hearts, brings spiritual life into our lives and forms a relationship with us.
So whether someone reads the Bible or the Qur'an, it's not the immediate response which is all telling, it's the long term response. So called faith gives way to syncretism, to falling away and to commitment that is not a heart commitment. Faith comes by hearing and hearing by the word of God.
The answer to your question is therefore, yes, I can take the Quran or the Bible or any religious book into another culture and try and convince them it's THE correct book to follow.. but only time will show which Holy Book truly brings faith that pleases God.