The hadith come from the traditions and sayings of the Prophet Mohammad. I read the following hadith on the blog Mind, Body, Soul and was struck at how thoroughly biblical it is. I am pasting it below from his blog with the addition of biblical references.
Hadith Qudsi: “I accept the prayer…”
Allah, ever exalted is He (Psalm 46:10), says: “I accept the prayer of one who humbles himself before My Grandeur (2 Chronicles 7:14), who does not seek to dominate My Creation (Colossians 1:16). who does not pass a night persisting in disobedience of Me (Deuteronomy 27:10), who devotes his day to My Remembrance (Joshua 1:8), who is merciful to the poor, the homeless, the widowed and to all who suffer misfortune (Luke 6:36; James 1:27).
The light of such a one is like the light of the sun (Proverbs 4:18). I shall preserve him by My Might (1 Corinthians 1:8-9), and My angels will protect him (Psalm 91:11). I shall provide him with light where there is darkness (Psalm 119:105), and forbearance where there is ignorance (Romans 2:4). His likeness among My creatures resembles the Highest Garden in Paradise (Psalm 1:1-3).”
Shaykh Ibn Arabi (ks) narrates according to the collection of al-Bazzar (R)

Hey
Yes, we (Muslims) believe that the original Gospels were the word of Allah,as is the Quran now. However, the Bible’s words were changed by humans, whereas the Quran wasn’t.
Also, in our view, Jesus (Prophet Isa) and his original followers believed in Allah too, in One God, so the original ‘Christians’ were actually ‘Muslim’….lol I don’t think I’ve explained myself very well haha, I have a migraine right now, but I hope that helped!
Thanks for sharing. It is helpful for Christians to understand the way Muslims view the Bible. Of course, we disagree on whether the Bible has been changed. I fully believe that God has preserved his word so that we can in fact read today what he revealed thousands of years ago. This would make for a good series of post, especially if there was a Muslim blogger with whom I could interact.
You are right that “muslim” literally means one who is submitted to God and thus there were Muslims before Muhammad came. In that sense I could consider myself a Muslim!