No, it was their foreseen faith that allowed God to do what He wanted, save them. (1Tim.2:4)
God is motivated to save all men (Jn.3:16)
Hence, it no longer is God's Sovereign Election, but an election based on the choice of the chosen, rather than the Election of the Choser.
No, it is a choice in a relationship a giver and a receiver
This makes God's Election reactionary, rather than pro-active. God's Sovereignty is not reactionary, but pro-active in all things. It is God who is Sovereign, and that absolutely. Nothing happens that is not exactly as He has ordained it. It is He that directs, decrees, and declares, and it is His Creation that obeys. Even the free choices are as He has ordained, and serve to fulfill His Purpose, in all things.
Again the old song and dance about God's sovereignty as you define it.
There is no reason why a sovereign God could not choose to allow His rational creatures to make a choice either for or against Him.
That is exactly how Scripture depicts how God is operating and that explains why some are not saved, they choose to reject God despite God's will otherwise.
In your system, God is either a respector of persons (impossible) or arbitrary (also impossible), thus, unconditional election is impossible and a blasphemy against God's very character.
There is every reason to believe that He does not. You have yet, Ed, to explain to me why one person believes and another does not. You argue continually for equal opportunity for all men when such a thing CLEARLY DOES NOT EXIST! Men die every day having never heard the Gospel, yet you say they are justly condemned for making a choice they were never presented with in the first place. You believe in a God who is active in the world, yet He could not be for fear of affecting someone's 'free decision' for or against Him. You decry the 'secret will fo God' while proclaiming and praising the secret will of man. You deny the Lord and Creator of All the very autonomy that you grant His creation: the ability to do as He pleases.
If things operate as you say, then Satan will be laughing and bragging all the way to the Lake because he will have shown himself much more attractive and able to garner praise than the Lord Himself.