The whosoever wills are the elect, and the whosoever wont’s are the non-elect.
Each is pre-destined to an eternity based on which "fork in the road" they choose.
Pre-destination is not God standing there at the beginning of time saying..."you'll go here, you, you'll go over there...you three will be here, you four will end up over there....you, with the happy face, you get heaven, sorry you two fuss buckets will get hell..."
God's pre-destination and man's free will given to him by God are not mutually exclusive of one another. They work hand in hand.
Unfortunately, man in his finite mindedness, usually tends to grab onto one extreme or the other.
Hence the constant debate.
All of this that you have stated is true and balanced. There is one thing I have to consider when it comes to God's election. The Jews and the nation of Israel are His elect. That election is based upon God's choice and a covenant that He has made with them. They have sinned, rebelled, rejected the Messiah and God has scattered them throughout the whole earth, but God will not forsake the covenant that he has made with them as His elect. He will deal with them and bring them back as a nation and a people who will call upon the name of the Lord and be saved. That election is based on an unconditional covenant that God keeps because it is His covenant that he made with them and not the other way around. In keeping His covenant, He will give them a new and better covenant and write it upon their hearts.
Heb 8:6-13
6But now hath he obtained a more excellent ministry, by how much also he is the mediator of a better covenant, which was established upon better promises.
7For if that first covenant had been faultless, then should no place have been sought for the second.
8For finding fault with them, he saith, Behold, the days come, saith the Lord, when I will make a new covenant with the house of Israel and with the house of Judah:
9Not according to the covenant that I made with their fathers in the day when I took them by the hand to lead them out of the land of Egypt; because they continued not in my covenant, and I regarded them not, saith the Lord.
10For this is the covenant that I will make with the house of Israel after those days, saith the Lord; I will put my laws into their mind, and write them in their hearts: and I will be to them a God, and they shall be to me a people:
11And they shall not teach every man his neighbor, and every man his brother, saying, Know the Lord: for all shall know me, from the least to the greatest.
12For I will be merciful to their unrighteousness, and their sins and their iniquities will I remember no more.
13In that he saith, A new covenant, he hath made the first old. Now that which decayeth and waxeth old is ready to vanish away.
Because of this unconditional covenant that He made with Israel, His elect, is the covenant that we have based upon the blood of Christ and the promises of God any less sure and steadfast in terms of those that He has called which are many. Jesus said you have not chosen me but I have chosen you / John 15:16 and many are called but few are chosen / Mt 20:16. Christ chose every one of the disciples to follow him and one of them was a devil / John 6:70. Justus was chosen but as the son of perdition so that the scriptures would be fulfilled / John 17:12, Acts 1:16, Ps 41:9.
Predestination for the believer is based upon the death, burial and resurrection of Christ and the blood that was shed for the remission of sins. This represents the new covenant that God has made with all men through salvation that comes through Christ. That new covenant is sealed by the blood of Christ. When man believes unto salvation they are placed in Christ and under that new covenant sealed by His blood / (86 times in Ephesians we are 'in Christ'). The only way that a sinner can be predestinated is when they are place in Christ at the moment of salvation.
Christ is the only one that has been predestinated by the Father and when we believe upon Him we are placed in Christ and His predestination becomes our predestination and we are hid with Christ in God / Col 3:3. Our predestination is from Christ, not from the will of man or the will of our flesh or choosing, but from God who calls us by His grace, to be in His Son and we responded by faith to that call in our heart and received the imputed gift of God's salvation. There is none that understandeth or seeketh after God, no not one / Rom 3:11. Jesus came to seek and save that which was lost / Luke 19:10. We were called, chosen, justified and glorified by the grace of God that is in Christ Jesus unto eternal life / Rom 8:30-33. Nothing, including stupid doctrines that come from stupid people, can separate us from this kind of love and grace that we have received freely from God our Father.