Huh?
Every covenant God made was with man.
In some covenants man had a part -- this was a bilateral covenant.
In some covenants man had no part -- this was a unilateral covenant.
You're saying God made a covenant with Himself?
No. This is not the difference. This is why obedience is not understood by some...not only you. This is why grace is not understood well.
This is the difference: Take it or leave it:
In the Mosaic Covenant man was required to obey the law but had no power to.
In the New Covenant man is still required to obey the MORAL law but now has the power to by the Holy Spirit.
It's that simple.
The Mosaic Covenant was bi-lateral. Man had his part to play because he had been living in slavery for almost 400 years and had forgotten about any type of law; so ceremonial and civil and moral laws were given so that the Israelites could become a civil nation again.
The New Covenant was uni-lateral. God was going to accomplish what He wanted to do without man's agreement or input. He was going to send the Holy Spirit so that each man could learn from Him and so that each man could have the Holy Spirit walking beside him and dwelling within him so he could be empowered to keep the MORAL law (the other two have been abolished). NO WHERE in the N.T. does it say the moral law has been abolished. ALL the writers exhort us to live a morally correct life, which is now possible with God's help.
See Jeremiah 31:31-34
31“Behold, days are coming,” declares the LORD, “when I will make a new covenant with the house of Israel and with the house of Judah, 32not like the covenant which I made with their fathers in the day I took them by the hand to bring them out of the land of Egypt, My covenant which they broke, although I was a husband to them,” declares the LORD. 33“But this is the covenant which I will make with the house of Israel after those days,” declares the LORD, “I will put My law within them and on their heart I will write it; and I will be their God, and they shall be My people. 34“They will not teach again, each man his neighbor and each man his brother, saying, ‘Know the LORD,’ for they will all know Me, from the least of them to the greatest of them,” declares the LORD, “for I will forgive their iniquity, and their sin I will remember no more.”