And in my opinion "Your" holy book does not support your claims either. But it's more than my opinion. I gave you the verses and you still choose to ignore them. And for your information,
every religion will have disagreements on doctrine. You muslims are not all united on religious matters either. Hince the Sunnis and Shiites and other differences that get downright violent.
Sunni Muslims
Sunni Muslims These are followers of the Hanifa, Shafi, Hanibal and Malik schools. They constitute a 90% majority of the believers, and are considered to be main stream traditionalists. Because they are comfortable pursuing their faith within secular societies, they have been able to adapt to a variety of national cultures, while following their three sources of law: the Qur'an, Hadith and consensus of Muslims.
The Sunni emphasize the power and sovereignty of Allah and his right to do whatever he wants with his creation. Strict determinism is taught. Its rulership is through the Caliphate, the office of Muslim ruler who is considered the successor to Muhammad. This successor is not through hereditary lineage.
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Shi'ite Muslims
The Shi'ites (also known as the Ja'firi school) split with the Sunni over the issue of the successor to Muhammad. This split occured after the assassination of the fourth caliph in 661. Shi'ites believe that the successor to Muhammad should have been Ali, his son in law, and that subsequent successors should have been through his lineage through his wife Fatima.
Shi'ism is broken into three main sects: the Twelve-Imam; Persia, Iraq, Afghanistan, Lebanon, Pakistan, and Syria), the Zaydis (Yemen), and the Ismailis (India, Iran, Syria, and East Africa). Each group, of course, has differences of doctrine.
"Shi'ite theology includes a doctrine known as the five supports: these are Divine Unity (tawhid), prophecy (nubuwwah), resurrection of the soul and body at the Judgment (ma'ad), the Imamate (imamah), and justice ('adl). The first three are found in Sunni Islam, albeit with some differences of emphasis; the Imamate, however , is the essence of Shi'ism, and the last, justice, is an inheritance from the Mu'tazilites, or rationalists, whose system is in many ways perpetuated in Shi'ite theology..." The Imamate, fom the word "Imam", in the Shi'ite traditions is the political and religious leader of the Shi'ite sect. This person possess great power and influence. According to Shi'ite doctrine, the Imam must be a biological successor of Ali. The Imam is also sinless and infallible on all matters of Islamic doctrine and will intercede for Muslims in the afterlife. The Shi'i and the Sunni differ in some interpretations of the Qur'an and Hadith and even have a different canon of Hadith and the Sunni.
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Sufi Muslims
The Sufi are a mystical tradition where the followers seek inner mystical knowledge of God. This sect "officially" developed around the 10th century and has since fragmented into different orders: Ahmadiyya, Qadariyya, Tijaniyya, etc. Of course, the Sufi believe their roots can be traced back to the inception of Islam in the early 7th century.
The Sufi mystic must follow a path of deprivation and meditation. There are various forms of abstinence and poverty. Worldly things are renounced and a complete trust in God's will is taught. The goal is to attain to a higher knowledge and experience of Allah. The mystical focus meant that the Qur'an could be interpreted in different ways and so Sufism taught that the Qur'an had mystical meanings hidden within its pages. Out of this mysticism a type of pantheism developed among some Sufi believers. Pantheism is the teaching that God and the universe are one. Of course, the orthodox Muslims, called the Sunni, reject this idea since they claim that Allah is the creator of the universe and distinct from it.
In part, Sufism arose as a reaction to the growing Islamic materialism that had developed in the Empire at that time. Islam had achieved great power and geographical scope and with it, the material gain was great.
So we're back to square one. Your book vs. my book. They both teach something different. They both cannot contradict each other and be correct. 
http://www.religionnewsblog.com/16818/differences-within-islam-create-confusion-for-many
What you are quoting is simply the differences between the aforementioned sects. But perhaps your pitifully limited vocabulary and comprehension prevented you from understanding the relevance of the differences above to the topic at hand.
Sure, the difference between the sects is on the basis of subjects like succession and interpretation of the Qur'an and the Sunnah, but at the same time, there are is a lot of common ground between each and every sect. No sect claims Allah is not One. No sect claims Muhammad was not a prophet. No sect orders you not to pray the five daily prayers. No sect orders you not to fast in Ramadan. No sect tells you not to give charity.
Likewise, the issue being discussed in this thread right now is one of those that falls into the common doctrines category. No one is a Muslim unless he believes that The Lord of Muhammad is the very same as that of Noah, Abraham, Ishmael, Isaac, Jacob, Joseph, David, Solomon, Moses, Aaron, Zachary, John and Jesus - all of whom are mentioned in the Qur'an, sometimes together in the one or consecutive verses. If you want first-hand proof, walk up to any decently learned Muslim and ask him if he/she believes his/her Lord is the same as the Lord of Abraham and Moses and you will never get anything except an immediate "yes" regardless of his/her sect.
As raybia and many others have already put it so eloquently, it's the
perception of The Almighty that differs among the three Abrahamic faiths, but they all still worship the same Creator. For example, a man has three children. One views his father as nothing but a stern and strict teacher, the other only sees him as the most kind and merciful man. The third one has an altogether different opinion. But the father of all three children is still one, regardless of their perception of him.
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