If Salvation is God, its His Responsibility to save the sinner !
Do you not deem it possible for God to make creatures than can choose between accepting Him, and rejecting Him?
If not, then of course you would think that God is responsible, because those creatures would just be robots, nay, DIRT OR CLAY, doing what God made them to do.
But if the opposite is true, that God made man with the ability to accept or reject Him, then why would the responsibility be upon God when a man accepts Him, or when another man rejects Him? Why is that God's responsibility when He gave man the "response-ability"?
You making it mans responsibility to get saved.
Because it is his responsibility. God provided the means of salvation by coming to the cross, and before the world began, determined that whoever accepted that means, they would be saved. Do you think that's impossible with God?