No fallen son of Adam wills salvation in Jesus Christ apart from God working in his will to give him to desire submission to God.
Example: Saul of Tarsus.
And God does not work in every man's will to give him that desire. (Jn 3:3-8)
Romans 10: 8 But what does it say? “The word is near you, in your mouth and in your heart” (that is, the word of faith which we preach): 9 that if you confess with your mouth the Lord Jesus and believe in your heart that God has raised Him from the dead, you will be saved. 10 For with the heart one believes unto righteousness, and with the mouth confession is made unto salvation. 11 For the Scripture says, “Whoever believes on Him will not be put to shame.” 12 For there is no distinction between Jew and Greek, for the same Lord over all is rich to all who call upon Him. 13 For “whoever calls on the name of the Lord shall be saved.”
Notice what is missing from your theological stance? The Holy Spirit through Paul says nothing about God's will being involved. Why is that? Perhaps because God's will regarding Salvation was already established.
2 Peter 3:9 The Lord is not slack concerning His promise, as some count slackness, but is longsuffering toward us, not willing that any should perish but that all should come to repentance.
But while we are speaking of God's will always being done - let's take a look shall we?
Matt 23:37 37 “O Jerusalem, Jerusalem, the one who kills the prophets and stones those who are sent to her! How often I wanted to gather your children together, as a hen gathers her chicks under her wings, but you were not willing!
Here is Jesus' words... God wanted (His will) to gather their children together - what stopped His will -
they were not willing.
John 5:39 39 You search the Scriptures, for in them you think you have eternal life; and these are they which testify of Me. 40 But you are not willing to come to Me that you may have life.
Need another? ok
When the Disciples wanted to know how to pray effectively - Jesus Himself told them this:
Matt 6:9 In this manner, therefore, pray:
Our Father in heaven,
Hallowed be Your name.
10 Your kingdom come.
Your will be done
On earth as it is in heaven.
Question - if God's will is ALWAYS DONE - why would Jesus instruct His Disciples to pray that it would be done?