Are we blaming God for sin committed by men?
We cannot pin the blame of sin on God.
God does not control nor dictate evil actions by sinners in every instance as some claim.
There are some apparent exceptions such as Pharaoh during Moses' time and Babylon. These evil hearts were already bent towards doing evil. They were merely encouraged in a certain direction to satisfy jobs that God wanted done.
God does not create sin but instead it is something the sinner choses to do on their own.
God actually steps aside and let's sinners make their own sinful choices.
The key words here are "gave them up", and "gave them over" as well as "their own", "their error" and "their knowledge". "They which commit" is also worthy of being noted along these lines.
Sin is not created but instead it is committed.
Wherefore God also gave them up to uncleanness through the lusts of their own hearts, to dishonour their own bodies between themselves:  Who changed the truth of God into a lie, and worshipped and served the creature more than the Creator, who is blessed for ever. Amen.  For this cause God gave them up unto vile affections: for even their women did change the natural use into that which is against nature:  And likewise also the men, leaving the natural use of the woman, burned in their lust one toward another; men with men working that which is unseemly, and receiving in themselves that recompence of their error which was meet.  And even as they did not like to retain God in their knowledge, God gave them over to a reprobate mind, to do those things which are not convenient;  Being filled with all unrighteousness, fornication, wickedness, covetousness, maliciousness; full of envy, murder, debate, deceit, malignity; whisperers,  Backbiters, haters of God, despiteful, proud, boasters, inventors of evil things, disobedient to parents,  Without understanding, covenantbreakers, without natural affection, implacable, unmerciful:  Who knowing the judgment of God, that they which commit such things are worthy of death, not only do the same, but have pleasure in them that do them. Romans 1:24-32
While we cannot blame God for sin He will be the one who will ultimately judge the the sinner who chose to do things their own way.
The soul that sinneth, it shall die. The son shall not bear the iniquity of the father, neither shall the father bear the iniquity of the son: the righteousness of the righteous shall be upon him, and the wickedness of the wicked shall be upon him. Ezekiel 18:20