You may not have "mentioned" it, but it was written all over the text. God is sovereign and God is omnipotent. Satan cannot manipulate Him.
Further, God using Satan as His "means" is synonymous to this:
Matthew 12:25-26
But Jesus knew their thoughts, and said to them: Every kingdom divided against itself is brought to desolation, and every city or house divided against itself will not stand. 26 If Satan casts out Satan, he is divided against himself. How then will his kingdom stand?
God is perfection; perfect Love, perfect Holiness. He does not have a need to use evil to further His divine Will. Do you not think that the God of all existence doesn't have means to have His will enacted without using some means that is less than holy? Mighty human of you.
Let me assume for just one second (for that is all my senses can take of this abhorrant thought) that you interpretation of Job 2:3 is correct: I don't see God's "happiness" in being moved in this way.
No. We have several things at work here. One is free will -- both Job's and Satan's. What you take as God either ordering or offering Satan opportunity I see simply as God referring to his free will to attempt to come against Job. The earth is the domain of man; God put us here and gave us dominion over all that is here, to rule over, to subdue, to tend and keep. See Psalm 82:6 -- we have been told to judge and to rule (we are called
elohim).
God gave us an offer:
Deuteronomy 30:19
I call heaven and earth as witnesses today against you, that I have set before you life and death, blessing and cursing; therefore choose life, that both you and your descendants may live;
Free will. We choose. We can choose blessing or we can choose the curse. (God gives a big hint here: choose Life!)
But Job stepped out of the blessing when he chose to fear and wander within his own sacrifices to protect his own, instead of trusting God. Note that this did not change his "standing" with God -- God still loved him and considered him a righteous man -- but Job stepped out of the blessing and into the curse:
Job 1:10-12
Have You not made a hedge around him, around his household, and around all that he has on every side? You have blessed the work of his hands, and his possessions have increased in the land. 11 But now, stretch out Your hand and touch all that he has, and he will surely curse You to Your face!
12 And the Lord said to Satan, Behold, all that he has is in your power;
Job has a hedge around him. He stands in the blessing and the results are spoken of her: increase, what he touches is blessed, etc. Satan tries to get God to curse Job, but God simply says to Satan: you have the ability already to touch his stuff....
Why? Because Job chose to fear, he recalls it here:
Job 3:25
For the thing I greatly feared has come upon me,
And what I dreaded has happened to me.
We see very early that Job has taken things into his own hands because he thinks that his children may be sinning, revelling, drinking:
Job 1:5
5 So it was, when the days of feasting had run their course, that Job would send and sanctify them, and he would rise early in the morning and offer burnt offerings according to the number of them all. For Job said, It may be that my sons have sinned and cursed God in their hearts. Thus Job did regularly.
The fact that Job would want to sancify them and make offerings according to the Lord's commandments is not necessarily the issue, but Job feared that the curse would touch him, he dreaded what would happen. And in so doing, he stepped out of his trust of the Lord and into the curse. He called these things upon himself; he opened the door (the hedge) for Satan to touch him.
It is too easy to look at Job and come to a conclusion that God did this, and then to extrapolate that into God must be cause of my own problems. He must have a reason to have done this to me, just as He had a reason to have done that to Job.
But God didn't "do" anything to Job. Unless if you want to say that simply because God gave man dominion and rule and choice that God is causal to the choices that man makes. But that would be disengenuous.
Job had free will. He chose the curse. That opened a door for Satan; God simply recorded in scripture that this was the case. Job dropped his protection (see Ps 91 for instance). Satan touched him and his family and his stuff. Satan comes to steal, to kill and to destroy.
God is Love. And He is holy and nothing evil is in Him nor with Him (nor in His use).