What connection does Islam have with Judaism and Christianity?

The most accurate connection between Islam, Judaism, and Christianity among the provided responses is:

- **the God of Muslims, Christians, and Jews is one and the same.**

All three religions are monotheistic and worship the same God, though they have different understandings and interpretations of that God.

The other statements are not accurate:

- **Followers of all three religions believe in a prophet still to come**: While Muslims believe in the coming of a Mahdi (a savior), this belief is not shared in the same way by Judaism and Christianity, particularly regarding the concept of a prophet.

- **Muhammad, like Jesus and Abraham, is believed to be the son of God**: This is incorrect. In Christianity, Jesus is referred to as the Son of God, but in Islam, Muhammad is considered a prophet and messenger of God, not His son. Similarly, in Judaism, Abraham is a patriarch but not considered a son of God in the same sense.

- **All three religions use the Old Testament in religious services**: While Christianity includes the Old Testament as part of its scripture (often called the Hebrew Bible in Judaism), Islam does not use the Old Testament. Instead, Muslims follow the Quran, which is considered the final revelation from God, alongside the teachings of Muhammad.

In summary, the strongest connection is the monotheistic belief in one God shared by the three faiths.