This is a good example of the logical fallacies which Calvinism requires. Calvinists believe that man is born totally depraved, unable to choose to cooperate with God's grace. Because no one can choose to accept grace, being totally depraved, God randomly decides to save people. In Calvinism, God sends people to hell because he chose to save them, while not saving others. God also sends people to hell because he chose not to save them. At no point did the person choose to be a sinner. They admit that. They admit God punishes people for being a sinner despite the fact they had no choice but to be a sinner.
There is no justice for God in Calvinism and this is why so many orthodox Christians reject the teachings of Calvin. There is nothing just about punishing a person when no personal choice is involved. So they respond by appealing to orthodox Christian views - that a person chooses to be a sinner. In this case, that you must think yourself the victim for your sins if you believe it is unjust for God to punish you for sin.
Yes, if you believe in orthodox Christianity, you are responsible for your sins. While you may be inclinded to sin because of the presence of sin in the world, the eternal grace of God is offered at every moment. You are given a choice between the inclination of the flesh, and the spiritual graces of God. But they appeal to something which does not exist for them. In Calvinism, humans aren't inclinded to sin, they are born to do nothing but sin. Humans receive no offer of grace from God at every moment of their existence. God only offers a moment of grace so overwhelming that you have no choice but to accept Him.
As an orthodox Christian, I accept the fact that I am both a victim of sin and a perpetrater of sin. I accept that on the day of judgment, God will consider what has been done to me and what I have done to others. I cannot accept that one can call God just if He rewards people in Heaven because He decided to save them, and send others to eternal suffering, because he chose not to free them from a slavery they were born into and had no choice but to live.
In Calvinism, all men are born slaves. Yet, they can never escape slavery, no matter how hard they try. God randomly decides to free men from slavery. On the day of their death, he sends slaves to hell, and free men to Heaven. Calvinists accept this fact and rather than openly admitting it, will utilize every logical fallacy to avoid admitting it.
As an orthodox Christian, I was not born a slave, with no choice to be a slave, only to be punished for being a slave.