Jeremiah prophesied that on the new covenant the law would be written on the hearts of the believer (Jr 31:33

"But this is the covenant that I will make with the house of Israel after those days, says the Lord: I will put My law in their minds, and write it on their hearts; and I will be their God, and they shall be My people."

and the prophet Ezequiel said that God was going to take the heart of stone and give a heart of flesh instead (Ez 36:26

"I will give you a new heart and put a new spirit within you; I will take the heart of stone out of your flesh and give you a heart of flesh"

Do texts like these give enough ground for us to say that the Christian is more able to fulfill God's commands than the old testament believer was?