What are the differences between Moses and Abraham?

Answer 1

Too many to answer. Different people, different times, different lives, missions and challenges.

Briefly:

Abraham founded Judaism, while Moses brought the Israelites into God's national covenant and received the Torah.

At the time of Abraham the Hebrew, the world was full of pagan cults; they were polytheistic, worshiping multiple deities and lacking moral character; with their rites accompanied by things such as human sacrifice, "sacred" prostitution, and animal worship.
Abraham, engaging in relentless contemplation, arrived at the conclusion that there is One God and that this should be taught to others as well. He became the first to advance the idea of ethical monotheism: the worship of God, and the appropriate ethical code of conduct. This is what is meant by his "calling out in the name of the Lord" (Genesis ch.12). As a young man, he remonstrated with passersby in public, demonstrating to them the falsehood of their idols; and our tradition tells how he was threatened and endangered by Nimrod.
Subsequently, his father Terah relocated to Harran; and it is here that Abraham began to develop a circle of disciples (Rashi commentary, on Genesis 12:5). Later, God told Abraham in prophecy to move to the Holy Land, which is where he raised his family. He continued his contemplations, eventually arriving at the attitudes and forms of behavior which God later incorporated into the Torah given to Moses.
Abraham became the greatest thinker of all time. His originality, perseverance, strength of conviction, and influence, cannot be overestimated.
He founded the Jewish people and lived to see his work live on in the persons of Isaac and Jacob; and he taught many other disciples (Talmud, Yoma 28b).
Abraham entered into a covenant with God (Genesis ch.15 and 17), welcomed guests into his home (Genesis ch.18) unlike the inhospitable Sodomites (Genesis ch.19), prayed for people (Genesis ch.18), eulogized and buried the deceased (Genesis ch.23), and fulfilled God's will unquestioningly (Genesis ch.22). He became renowned as a prince of God (Genesis 23:6).
The practices of Abraham were based upon the ways of God. These were the teachings of Abraham and his descendants (unlike idolatry, which had no moral character; with worship of the gods accompanied by things such as human sacrifice, "sacred" prostitution, and animal worship). It is therefore clear why God expresses His love for Abraham (Isaiah 41:8) and calls Himself the God of Abraham (Genesis 26:24), and says that Abraham obeyed Him fully (Genesis 26:5).
The gravesite of Abraham, Isaac and Jacob and their wives (Genesis 49:29-32) is located in Hebron and has been known and attested to for many centuries. Moses was an Israelite, a great-great grandson of Jacob. He was born 245 years after the death of Abraham. The time when Moses was born was when the Pharaoh had ordered his people to kill all Israelite male infants because he (Pharaoh) was afraid that the Israelites would become too strong for him (Exodus ch.1-2). Moses' mother didn't want him to die. So she made a basket for him and put him in it to float in the Nile reeds. He was found by Pharaoh's daughter, who took pity on him (Exodus ch.2) and raised him as her own son. Moses was forced to flee after killing a cruel Egyptian taskmaster, and went to Midian, where he wedded the daughter of Jethro. He eventually achieved the highest level of prophecy (Deuteronomy ch.34) and was called upon by God (Exodus ch.3). He brought the Israelites out of Egyptian slavery (Exodus ch.12). He received the Torah from God (Exodus 24:12) and later recorded it in writing (Deuteronomy 31:24). He went up on Mount Sinai for 40 days and nights (Deuteronomy ch.9-10) and brought down the Two Stone Tablets with the Ten Commandments (Exodus 31:18). He brought the Israelites into the covenant with God (Exodus ch.19 and ch.24), and he oversaw the building of the Tabernacle (Exodus ch.35-40). He was the humblest of men and the greatest of prophets (Numbers ch.12).