Allen, Thank you for this thread. Not many are willing to discuss election because it's so confusing. It does not have to be that way at all. The theology of election is explained in the entire Chapter of Romans nine. In order to understand election, one has to study the entire Chapter.
The key Verse is v.27. "Though the number of the sons of Israel be as the sand of the sea, only a remnant of them will be saved". The mystery of a remnant answers the mystery of election. God has always had a remnant of followers of His divine ways. God chooses the ones who will be His followers! He does not choose everyone, only a few. Why election? Why does He choose certain people in every generation? Good question!
Before the foundation of the world, we are told in various parts of Scripture, God chooses certain people to love Him and obey, as much as possible, His ways, commandments, Laws and so forth. You see, in every generation, God needs these "believers" to represent Him. They are the ones who will show what God is like and how mankind should live in a wicked world they live in. The "chosen" or "elect" are God's representatives born in a generation of His choice. This means that you were not born in an earlier time or a later time, you were born in this generation! He needs you to show your family, friends, workers, etc. who God is. And perhaps they will want to believe in the God you represent.
Now we come to everyone else, outside of His remnant of elect believers. They are not called to be a part of the chosen remnant, but are called to be believers in Jesus through your testimony. There is a call to Salvation that goes out through you because God is not willing that any perish, right? Guess what? You will always be a messenger of the Good News. Their Salvation is our mission. God has gifted every one of the chosen to reach our sphere of influence for Jesus. Salvation then, is their responsibility whether they will accept the free gift of Salvation or not.
I hope this helps.