Hah! It's actually not a simple question.
Does God want believers to sin in a moral sense? No. God's commands that we not sin.
Does God sovereignly ordain our sin and use it for his good purposes? Yes. This is exactly what God did with the worst sin ever committed - the betrayal, arrest, and murder of the Son of God. The murder of Jesus was free actions of men which God did not approve of, but he did sovereignly decree in order to accomplish our salvation.
What you describe would be God willing that we sin, as to ordain something/someone is to appoint, arrange, charge, command, etc. Basically it's will + direction. The moral command to sin would be a contradiction, as he cannot both command (ordain) we sin and command we not sin; else it would be surface level lie or deception as He would be giving us a verbal command that He otherwise commands/ordains we be unable to fulfill.
The verse you use to support this does not actually support it. What does Acts 2:23 say? "
This man was handed over to you by God's deliberate plan and foreknowledge; and you, with the help of wicked men, put him to death by nailing him to the cross." Jesus being delivered over into the hands of the Jews was by God's deliberate plan and foreknowledge. Is there a sin in Jesus becoming flesh, or a sin in God placing Jesus under the Earthly authorities of the day in allowing Jesus to be arrested by the Jewish elders and the people, or a sin in allowing Jesus to be tried by the Romans? No! It was God's plan before time that Jesus would die to bring redemption (Rev 13:8), and for that to occur Jesus needed to take human flesh and be delivered into the hands of the Jews. Jesus clarified that even though He could ask His Father to rescue Him and get twelve legions of angels,
scripture could only be fulfilled if He went with the party arresting Him (Matt 26:47-56.)
Now let's look at the other half of Acts 2:23:
"and you, with the help of wicked men, put him to death by nailing him to the cross." Did God ordain the individual wickedness of each heart? Did God put Christ to death? No - the Jews, with the help of the Romans, crucified Christ. Nothing in the verse states that God commanded or ordained actual sin vs. delivering Christ over into their power in the knowledge that those wicked people would crucify Christ and fulfill scripture.