I’m not a believe in election, but I never considered it my responsibility to *save* anyone.
I can’t.
My responsibility is to obey God, and make disciples, as He told us, and present the gospel whenever I can and let the Holy Spirit do the work of convicting and drawing.
That’s His job anyways.
I tell people about the Lord because knowing Him is the most amazing, exciting, indescribable thing in the entire universe. Knowing Him is that "Light" which can't be hidden under a bushel.
When people reject that light I'm sad for them and realize that if I was not elect I'd also reject Him. Then I hope that He will give them the gift of faith in His time.
I've heard people preach that if you don't go out and save people they will go to hell and their blood is on your hands. That is not scriptural.