Honestly, when I became a Calvinist, limited atonement was probably the hardest one to accept, and then became all the more logical to me — if Christ paid for the sins of every single person without exception, then it would follow that nobody would go to Hell, as He bore those sins on Himself, including the sin of unbelief, as the substitutionary atonement for us (2 Corinthians 5:12).
Furthermore, it says in Matthew 1:21 that Jesus would "save His people from their sins", not attempt to and fail greatly (as the majority of the world is non-Christian and damned, per Mark 16:16).
You must understand that the "whole world" and "all" is almost never referring to literally every single human on the planet. Jesus told His disciples that they would be hated by all for His namesake, but that obviously didn't include primitive hunter-gatherers from the far reaches of the jungle who would never even meet them.
No, it meant all kinds of people, from all social statutes, be they those in power and the wealthy, or the middle and working-class, and even peasants would mock them for following our Lord Jesus.
Nevertheless, God bless my Arminian brothers and sisters, I think you're wrong, but I love you!