Bible must logically consistent with itself.
But all truth and even reality must also be consistent. Otherwise, there would be inconsistencies in nature and reality which never happen.
Let's think as detective. Did Jesus commit act of saving everybody? Did He have motive, power and opportunity to do act? Yes to all. Therefore is logically follows that Jesus did save all.
Above sentence doesn't imply that all will saved in one "go" or in this age.
If Lord in finally of time allows our will in rejecting Him be more important to Him than saving us and restoring love between us and Him something is terribly wrong in your theology or with His moral system.
What kind of person claim that he is good father full of love and doing nothing while time allowing his child to drug himself to death? Lier, asshole and hypocrite. What kind of love is satisfied with keeping distance while loved person is destroying himself? There is no such love.
Moral system always contains hierachy of values. Something is always more important than something else. Supporters of Hell for rejecting offer of salvation must also claim that in Lord's moral system human will is more important than His love of us. And that Lord will respect human will in eternity.
Doctrine of universal salvation comes from Christianity's earlies days:
Matthew 25:31-46 KJV
31 When the Son of man shall come in his glory, and all the holy angels with him, then shall he sit upon the throne of his glory:
32 And before him shall be gathered all nations: and he shall separate them one from another, as a shepherd divideth his sheep from the goats:
33 And he shall set the sheep on his right hand, but the goats on the left.
34 Then shall the King say unto them on his right hand, Come, ye blessed of my Father, inherit the kingdom prepared for you from the foundation of the world:
35 For I was an hungred, and ye gave me meat: I was thirsty, and ye gave me drink: I was a stranger, and ye took me in:
36 Naked, and ye clothed me: I was sick, and ye visited me: I was in prison, and ye came unto me.
37 Then shall the righteous answer him, saying, Lord, when saw we thee an hungred, and fed thee? or thirsty, and gave thee drink?
38 When saw we thee a stranger, and took thee in? or naked, and clothed thee?
39 Or when saw we thee sick, or in prison, and came unto thee?
40 And the King shall answer and say unto them, Verily I say unto you, Inasmuch as ye have done it unto one of the least of these my brethren, ye have done it unto me.
41 Then shall he say also unto them on the left hand, Depart from me, ye cursed, into everlasting fire, prepared for the devil and his angels:
42 For I was an hungred, and ye gave me no meat: I was thirsty, and ye gave me no drink:
43 I was a stranger, and ye took me not in: naked, and ye clothed me not: sick, and in prison, and ye visited me not.
44 Then shall they also answer him, saying, Lord, when saw we thee an hungred, or athirst, or a stranger, or naked, or sick, or in prison, and did not minister unto thee?
45 Then shall he answer them, saying, Verily I say unto you, Inasmuch as ye did it not to one of the least of these, ye did it not to me.
46 And these shall go away into everlasting punishment: but the righteous into life eternal.