That's true, but I believe God did do it.
If God is in control of all, and can answer all prayer and doesn't, then only he can be to blame. Satan, as far as Job goes, simply works for God and does whatever God tells him. God has no equal, so the devil is even under his control. At least as far as the Bible goes.
I don't see how not to hold God as responsible in this situation.
A few things to consider . . .
God did not "do it". He allowed it. An important distinction.
I suspect few, myself included, actually understands the rules under which God created the earth, the angels to watch over it and govern their affairs (I'm speaking of the original angelic council), and man who was to live in a paradise with all needs met and to rule over it. When God would meet Adam in the Garden, it reflected His heart and original intention to be an integral part of man's life here.
Once Adam and Eve rebelled and fell, all of those plans and intentions changed - man rejected God's gift. Satan came into power and is called the prince of this world by Christ because he has authority to do as he wants. And God's rules of free will, He made man in His image, free to create, love, and obey as well as to sin and rebel, allowed it all to happen.
As Job demonstrates, God had placed a hedge of supernatural protection around Job blessing his property, his family and his health. Why was this necessary? Because without it, Job would have been subject to Satan's rule and heart to destroy and kill at any time; this is price of our fall and the rejection of God. Yes - God allowed Satan to take all away and to physically harm Job, but limited Satan's authority over His servant. And God made sure to have these events recorded for all time for a purpose: (1) to show forth His heart to bless, protect and shield us from Satan, (2) to show forth Satan's heart to kill and destroy, and (3) to show forth the virtue of truth and faith should transcend circumstances, as Job's response demonstrated.
It's a beautiful and powerful story. We see it repeated in Jesus in the Garden of Gethsemene and then to the Cross. We have a better understand of God's purpose in asking His Son to die on the Cross to purchase our atonement, yet even there, we fall short, don't we? Why does an atonement have to be paid? Why can't God just forgive without requiring blood? We know that the Cross is what 'perfected' or 'completed' Christ and His purpose, without it, He was incomplete. We see it again when Jesus told Peter that Satan had asked permission to sift Peter. And again, it makes some sense for all Jesus entrusted Peter to do, a sifting is beneficial to remove all of the dross, all that is not yielded to God.
Does this happen to all of us? Probably to varying degrees. We're told to consider trials and tribulations pure joy for the benefits and character it brings forth from us. Is all of this preparation for our eternal reward and role? Necessary to mold us into what God has in store for us in His eternal Kingdom? The more responsibility we have, the more likely we'll face such trials? And our response to them is what brings forth the character God is looking for. If we're to continue living in enemy territory, and subject to being occasionally attacked by the devil, then having leaders who know attacks and how to persevere is essential to lead the Body of Christ.
If you find yourself under particular attack by the devil, perhaps it's because the Lord has significant plans for you. If you're hyper-focusing on Job, perhaps that's not a good thing. Perhaps hyper-focusing on Christ, God's own Son, and the trials He willingly endured in order to obey and fulfill all things, is a better place to set your sites. God is not asking you or any of us to endure more than He Himself has submitted to - including suffering and death itself. There must be a profound and unfathomable purpose for it all. I trust Jesus and am willing to walk through these life's persecutions because He did it in a bigger way than I ever will have to.
I hope this helps brother.