Hi there Born_Again,
there’s very little doubt in my mind that God wants to save everyone, because the Bible tells me so:
“3 This is good and acceptable in the sight of God our Savior, 4 who wants all people to be saved and to come to know the truth fully.” (1 Tim. 2:3)
In the text you quoted Paul talks about the salvation of the Jews who did not accept Christ. If you read on, you’ll find that Paul does not think at all that they stumbled as to fall beyond recovery (Rom. 11:11-12). His ponderings on the matter of salvation end with verse 11:32: “For God has bound everyone over to disobedience so that he may have mercy on them all.”
In this passage Paul also makes it very clear that it is not our choice whether we take God up on His offer or not. We can’t choose to have faith, like everything else our faith is given to us by God’s grace: “It does not, therefore, depend on human desire or effort, but on God’s mercy.” (Rom. 9:16). It is God who hardens people’s hearts (Rom. 11:7+8) and binds them over to disobedience.
So as much as I like the notion of free will, I don’t think our human free will can totally override God’s will. It’s not us who decide whether we’ll be saved or not, but Him.