As a Catholic with quite Eastern leanings I should have to say that I fundamentally hope and pray for the salvation of all.
But reality speaks volumes and not every one will be saved.
Again the Father chooses who he wants for his Son. After all it is the Father who is sending invitations to the wedding supper of his only begotten Son to those who are desirable to him. After all the Father knows everything because he is all seeing and all knowing.
This beloved and glorious Son has said and stands by his words that
"Not everyone who says to me, 'Lord, Lord,' will enter the kingdom of heaven, but only the one who does the will of my Father who is in heaven. Many will say to me on that day, ‘Lord, Lord, did we not prophesy in your name and in your name drive out demons and in your name perform many miracles?’ Then I will tell them plainly, ‘I never knew you. Away from me, you evildoers! (Matthew 7:21-23)
Jesus here is talking specifically about the believers themselves who call upon the name of the Lord. So you can immediately dismiss those who don't even call upon his name. Therefore there goes 80% of the world's population, which is around 6 billion people.
So coming to the point within the context of the believers, let us understand the following
So what is the will of the Father?
And this is the Father's will which hath sent me, that of all which he hath given me I should lose nothing, but should raise it up again at the last day.And this is the will of him that sent me, that every one which seeth the Son, and believeth on him, may have everlasting life: and I will raise him up at the last day. (John 6:39-40)
In these versus Jesus is alluding to the select or elect if you want to call them, who are selected and choosen by the Father for his Son's wedding. Wedding crashers who the Father doesnt choose are likened to the man who turned up to the wedding without the wedding garments.
“But when the king came in to see the guests, he noticed a man there who was not wearing wedding clothes. He asked, ‘How did you get in here without wedding clothes, friend?’ The man was speechless.
"Then the king told the attendants, ‘Tie him hand and foot, and throw him outside, into the darkness, where there will be weeping and gnashing of teeth.’“For many are called by the name of Jesus, but very few are chosen by God the Father.” (Matthew 22:11-14)
So coming back to seeing the Lord and then believing in him is what is reported to be by scripture, those who the Father chooses for his Son's wedding.
So what does it mean to see the Son, in which the believer knows that he/she has been chosen by God the Father?
The same word is used in the following verse
John 14:21
He that hath my commandments, and keepeth them, he it is that loveth me: and he that loveth me shall be loved of my Father, and I will love him, and will manifest myself to him.
So the same word manifest or to show is stipulated in the process where the Father who loves that individual chooses him/her for the seeing of the Son.
This comes to mind that if the Son hasn't showed himself YET to those who call upon his name, then they are YET to be chosen by the Father.
What does to show mean?
The word implies sight, that is seeing through obviously visions, just like many of the apostles had seen the man in white, including Paul who was blinded by him on the road to Damascus.
Many throughout generations have come face to face with the form on the mount of transfiguration through visions and have in that matter been elected/chosen and in that regard not everyone who says Lord, Lord and Lord will be saved. As far as those who dont even call upon his name, well they are completely out of the race altogether.
Many will say I have seen the Son through some sort of human experience, but this is not what the usage of the word manifest means. Seeing would be like the story of Joseph who saw the Living Word and the Living Word touched his lips.
We can only know for sure that we have been chosen by the Father as the bride for his Son the groom, if we are brought before the man in white, the Living Word. The Father is arranging his Son's wedding as the wedding organiser and so it is an arranged spiritual marriage.
Many are called to the Christian walk by faith, but very few are chosen by God the Father.