Alex I agree with you that the Bible is the word of God. But historical Christianity accepts the impact of the human authors and their personalties, vocabulary, etc. while still believing that the end product, superintented by the Holy Spirit is exactly as intended. This diversity, reflected in the godhead, recognizes that the Son while having a different role, including a subservient role while on earth, is still equal to the Father.This concept of equality among diversity is foriegn to Islam, just as it is foriegn to many radical feminists who have abandoned Christianity. To a great extent we take this pillar of Western culture derived from Christianity for granted.
We also believe in fallen people corrupted by sin yet still bearing the image of God and believe in freedom of conscience; shaped, varigated in development and always in process, by the word of God illuminated by the Holy Spirit. This demands a level of freedom of thought that is incompatible with Islam (or progressivism for that matter)