How big was that world? It didn’t take in Asia, Australia, North & South America.
If you are in a lifeboat, do you sail it to the other side of the world to pick up people?
Are the people in your backyard not worth saving?
Jesus never tried to convert anyone.
What you said:
“Jesus never tried to convert anyone...”
What the scriptures say:
“Come unto me, all ye that labor and are heavy laden, and I will give you rest...”
“If any man will come after me, let him deny himself, and take up his cross, and follow me...”
“Suffer little children, and forbid them not, to come unto me: for of such is the kingdom of heaven...”
“If thou wilt be perfect, go and sell that thou hast, and give to the poor, and thou shalt have treasure in heaven: and come and follow me...”
“Come ye after me, and I will make you to become fishers of men...”
“If any man thirst, let him come unto me, and drink...”
And for His followers:
“But ye shall receive power, after that the Holy Ghost is come upon you: and ye shall be witnesses unto me both in Jerusalem, and in all Judea, and in Samaria, and unto the uttermost part of the earth...”
In short, every soul on earth is a mission field. Every soul on earth needs to be converted [according to the Bible] in order to be accepted by God into His Heaven. Jesus’ entire earthly ministry was one of seeking and saving that which was lost—converting. He then commissions His followers to go and do likewise. These are the plain teachings of scripture.