If one accepts that God is omnipotent (and omniscient), then any man *can* be part of His work.
Free will suggests, though, that an ungodly man will not divine his role in His plan, thus not working in furtherance of it.
I think a more accurate formulation would be that good and evil exist in this world and God knows that. When evil happens, God's work is in helping people see how to come closer to Him.
In that sense, an ungodly man doing ungodly things can still be used to show people the path to - and benefits of - God.
Free will suggests, though, that an ungodly man will not divine his role in His plan, thus not working in furtherance of it.
I think a more accurate formulation would be that good and evil exist in this world and God knows that. When evil happens, God's work is in helping people see how to come closer to Him.
In that sense, an ungodly man doing ungodly things can still be used to show people the path to - and benefits of - God.