While I am not Compatibilist, I have no problem affirming that the human will is involved when it comes to saving faith. Man willingly believes but only after his will has been liberated from the slavery of sin. Prior to becoming a Christian, an individual can only choose between good and evil in a relative sense. It is good to stop and help someone pick up the contents of a bag of groceries that fell on the ground. It is evil (bad) to steal a roll of Life Savers from the local Circle K. Within the Christian sphere good and evil has a different meaning. We understand from the word of God that the sinner cannot do anything that God considers to be good (Isaiah 64:6; Romans 3:9-12; 8:7; 1 Corinthians 2:14). The sinner is non posse non peccare (not able not to sin). The sinner is not posse non peccare (not able to sin). This is why I made the appeal to deal with the theology of the matter. How fallen is the human will? When Paul writes about the Ephesians pre-Christian state he says, "You were dead in your trespasses and sins". Paul was referring to the immaterial part of man of which the human will is part. According to Paul, that part of man is [spirtually] dead. A consequence of death is inability.
When we start considering some of the different views on determinism it is easy to obscure the unclouded truth that is right in front of our eyes. No decree of God can be thwarted. God works in, out, and through His creation "for His good pleasure" (Philippians 2:13). As His children, we are the recipient of His beneficence no matter how He works His will. As God works His will of decree, does He nudge or prod us along as willing participants or are we drones that do as we are told? I think that depends on the circumstances. Certainly, Jonah saw both sides of God's will of decree at work. Here is where there is some level of mystery; how the will of Christians freely choose to serve God, while God's will takes precedence over all.
There are a few issues, I think.
First, your wording that "no decree of God can be thwarted". There is an issue with what is, and is not, decreed. Personally I do not have a problem here because I believe everything is decreed simply because everything has it's being through Christ and apart from Him does not even exist. But others may point out that they also affirm anything God decrees will be accomplished while also affirming God does not decree salvation.
Second, there is the reason sinners are not able to "not sin". Some attribute this to Adam (to a fallen nature) so that the flawed nature is ultimately tossed aside (one way or another). Others consider man's inability to be a matter of the will (men cannot "not sin" because man will not repent and turn to God). This second calls to mind Spurgeon's statement that some say they cannot because they will not, while ultimately the answer is they won't (turn to God).
Third, "death" in terms of a "spiritual death" is an illustration. The spiritually dead can do a lot of things, in their spirit. But they will not turn to God. It is at a minimum pushing the limits to declare that Paul's choice of words evidence an inability based on action rather than unwillingness.
So there are several things that are "in between" discussions that can very well separate opinions.
As far as my view of Compatibilism, it helps me just sit back and watch what I view as errors on both sides of the isle. It's a good place to be on this topic because I affirm everything you affirm but ignore what you deny. The same is true when considering the free-will people. And my answer can always be that I believe God is not man.
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