No, the non-elect are not included in the world to come.
Different worlds - one eternal; one to be destroyed: one world cannot at the same time be saved AND yet be destroyed. For that, there must be two different worlds. The world to come is the one Christ saved; the current one to be destroyed.
Verses Jhn 3:17, 1Jo2:16 & 17 below use the word kosmos.
And I am done with, and tired of, this particular topic.
[Jhn 3:17 KJV]
17 For God sent not his Son into the world to condemn the world; but that the world through him might be saved.
[1Jo 2:16-17 KJV]
16 For all that [is] in the world, the lust of the flesh, and the lust of the eyes, and the pride of life, is not of the Father, but is of the world.
17 And the world passeth away, and the lust thereof: but he that doeth the will of God abideth for ever.
[2Pe 3:10-11 KJV]
10 But the day of the Lord will come as a thief in the night; in the which the heavens shall pass away with a great noise, and the elements shall melt with fervent heat, the earth also and the works that are therein shall be burned up.
11 [Seeing] then [that] all these things shall be dissolved, what manner [of persons] ought ye to be in [all] holy conversation and godliness,