The Arabic language uses the words Muslims and Islam for those people whom believe and do the will of the One Holy God. As the Prophet Muhammad taught, it does not matter how you worship God as long as you are following his will. The prophet Muhammad Peace Be Upon Him was an excellent example. He taught us that all religions were right if they follow the will of the One Holy God. This is shown in the worship practices that he followed. He bowed, kneeled and prayed with every aspect of the religions of the peoples before him had worshiped with. This tells me they were all correct. He once said that those that come after him would see his message clearer than those living in his own time. I do not come to change his religion because his religion was simple, believe and do the will of the One Holy God. Muhammad even changed the direction of the prayer for his followers to show it did not matter which direction you prayed and worshiped God because he would know. He allowed the Christians and Jews to live side by side with him, because there was many that faithfully worship One God.
I would like to insert here some Islamic terms that I may be using back and forth. These terms are from the Arabic language. Muslims are taught to keep prayers and the worship to God in the language the message was delivered. This has eliminated any question about the translations, as is sometimes the case of messages that God sent to mankind.
Greeting: Peace be upon you ... As-salamu alai kum
Return Greeting: And peace be upon you ... Wa alai kum as-salam
God .... Allah (al-ilah); a combination of al (the) and ilah (god) meaning "The God".
God Most High ... Allah Ta'ala
God the glorified and exalted ... Allah Subhana wa Ta'ala or Allah (SWT)
God is Greater (than anything else) ... Allahu Akbar
In the name of God ... Bismillah
In the name of God the Merciful, the Compassionate ... Bismillah-ir Rahman-ir Rahim
Praise be to God (Hallelujah) ... Al-hamdulillah
Lord of Heaven and Earth (the Universe) ... Rabb-ul A`alamin
Jesus the Messiah ... Isa Al-Masih
Abraham (peace be upon him or "pbuh") ... Ibrahim (alaihi as-salam or )
Isaac and Jacob ... Ishaq and Yaqub
Ishmael ... Ismail
Moses and Aaron ... Musa and Harun
David and Solomon ... Daud and Sulaiman
John the Baptist ... Yahya
Prophet ... Nabi
example: Prophet Moses ... Nabi Musa
Mary ... Maryam
Gabriel (holy spirit-messenger) ... Jibrail or Ruh-ul Quddus
Mohammed (blessing be upon him and peace) ... Muhammad (salallahu alaihi wa as-salam) or Muhammad [s:]
The Holy Book (the Bible) ... Al-Kitab-ul Muqaddas
The Book of Moses (Torah) ... Al-Tawrat
The Psalms of David ... Al-Zabur
New Testament (Gospel) ... Injil Sharif
Writings of the Prophets ... Suhuf-un Nabiyin
Jerusalem ... Al-Quds
Islamic religious law ... Shariah