Faith and Election are tied together. When a person is redeemed on earth it is because God the Father had elected them before the foundation of the world. God the Father has a gift of faith prepared for His elect upon the time when He makes them alive with Christ.I do not agree with most points posed by those debating against you here - I am a firm believer of regeneration preceding faith - and yet I do find valid questions being raised that we do need to respond to convincingly in order to persuade. If I'm being fair, I would have to acknowledge there are complexities and nuances in Scriptures that are larger than any one camp's doctrinal system.
Most nuances are found in language - was the dying man saved by the good samaritan's compassion (Luke 10:33) or by the ministering of wounds and payment to the innkeeper for care (Luke 10:34-35)? Could one say that ministering of the wounds was a prerequisite for saving the man even though it followed the samaritan's compassion?
The term Law as used in Paul's epistles refers to a principle like the Law of Gravity etc. Something along the lines of an IF..THEN...If an object is dropped, Then it falls at gravitational acceleration whatever (never great at science, lol). So Paul sees (Rom 10:5, Gal 3:12) the Law of works in Lev 18:5 - IF you do God's commandments, THEN you will live by doing so. Deut 27:26 provides the inverse for Paul (Gal 3:10) - IF you don't do God's commandments, THEN you are cursed. I think there's merit in seeing a Law of faith similarly (Rom 3:27) - IF you believe, THEN you are saved (Rom 10:11, 13) and IF you do not believe, THEN you will die (Luke 8:24). Again, note, this does not prove faith is the cause of the effect - it simply could be an instrumental evidential means that necessarily accompanies salvation.
Also, "saved" is a dynamic term - one who is saved by God can still be destroyed later (Jud 1:5) and one who believes for a while could stop and fall away (Luke 8:13). Granted, this puts a spoke in the calvinist system but these Scriptures are saying what they're saying right?
As long as we don't get overly defensive and are able to engage all difficult points, I'd think reconciliation is always possible within various differing perspectives/interpretations.
Jesus expresses this wonderfully with his intercessional prayer.
John 17:1-26
When Jesus had spoken these words, he lifted up his eyes to heaven, and said, “Father, the hour has come; glorify your Son that the Son may glorify you, since you have given him authority over all flesh, to give eternal life to all whom you have given him. And this is eternal life, that they know you the only true God, and Jesus Christ whom you have sent. I glorified you on earth, having accomplished the work that you gave me to do. And now, Father, glorify me in your own presence with the glory that I had with you before the world existed. “I have manifested your name to the people whom you gave me out of the world. Yours they were, and you gave them to me, and they have kept your word. Now they know that everything that you have given me is from you. For I have given them the words that you gave me, and they have received them and have come to know in truth that I came from you; and they have believed that you sent me. I am praying for them. I am not praying for the world but for those whom you have given me, for they are yours. All mine are yours, and yours are mine, and I am glorified in them. And I am no longer in the world, but they are in the world, and I am coming to you. Holy Father, keep them in your name, which you have given me, that they may be one, even as we are one. While I was with them, I kept them in your name, which you have given me. I have guarded them, and not one of them has been lost except the son of destruction, that the Scripture might be fulfilled. But now I am coming to you, and these things I speak in the world, that they may have my joy fulfilled in themselves. I have given them your word, and the world has hated them because they are not of the world, just as I am not of the world. I do not ask that you take them out of the world, but that you keep them from the evil one. They are not of the world, just as I am not of the world. Sanctify them in the truth; your word is truth. As you sent me into the world, so I have sent them into the world. And for their sake I consecrate myself,that they also may be sanctified in truth. “I do not ask for these only, but also for those who will believe in me through their word, that they may all be one, just as you, Father, are in me, and I in you, that they also may be in us, so that the world may believe that you have sent me. The glory that you have given me I have given to them, that they may be one even as we are one, I in them and you in me, that they may become perfectly one, so that the world may know that you sent me and loved them even as you loved me. Father, I desire that they also, whom you have given me, may be with me where I am, to see my glory that you have given me because you loved me before the foundation of the world. O righteous Father, even though the world does not know you, I know you, and these know that you have sent me. I made known to them your name, and I will continue to make it known, that the love with which you have loved me may be in them, and I in them.”