What you seem to not fully understand or recognize is that Libertarians don't deny that God does at times throughout history intervened to effectuate His desired outcome. And that He may do so through causally determined means such as a Compatabilist might describe (i.e. the use of appointed circumstances, sinful agents, second causes and the like). But those are unique examples of God's positive agency as he actively intervenes to DO something. That is what uniquely makes the scripture "divinely inspired" after all. If God causally determines all things in like manner then what is "divine" about the inspiration of scripture? How is scripture effectuated by God any differently than other Christian books if indeed God has actively determined all things in like manner? Such a view only undermines the uniqueness of God's ACTIVE work and inspiration.
So, while Libertarians might agree that God DID actively intervene to ensure the crucifixion of his Son (through second causes as a Compatibist would describe) in order to bring about the redemption of mankind, that in no way proves or even implies He likewise actively intervenes to ensure the molestation of a five year old girl as just one example. Looking to one divine example of intervention doesn't prove universal divine intervention in all matters, otherwise what is uniquely divine about the redemption? Same goes with the other examples of "divine intervention" you have mentioned.
It is most certainly justifiable for God to actively intervene to ensure redemption (while doing so through second causes etc to ensure his holiness isn't compromised), but to PRESUME that justifies and proves that God likewise brings about every sinful deed in a similar manner is baseless and completely unbiblical. God doesn't even TEMPT men to sin, yet this Calvinistic system has God not only casually determining the tempter, but actively determining the nature of the one tempted so that when he sins he could not willingly do otherwise.
Think the BIG point in all of this discussion is that GOD either directly determines by Himself, or else through choice of others that are permitted/allowed, to be in ALL things working out His Will and plan at ALL times!
NEVER a decision made, or act performed that was outside God able to chose to intervene and have it done His pefect Will IF He so chosed!