We should always exercise caution.
This is unbiblical. Scripture speaks of 'A great multitude, which no one could number, of all nations tribes, peoples and tongues, standing before the throne.....' If no one can number them, then who are you, may I ask, not only to number them, but to find the insufficient? Also, would you like to explain to me how the number gets any bigger under Pelagianism or Arminianism?
Unfortunately, you have added words to the Scripture. The words 'for the sins of' are not found in any ancient manuscript. Secondly, you are making the assumption that 'the whole world' means 'all the people in the whole world,' which is adding to Scripture again; and thirdly, If the Lord Jesus is the propitiation for all the people in the world, the God is propitiated in respect of all the people in the world and therefore all the people in the world are saved. Is that what you believe?
I am going out in a few minutes, and will deal with the other texts later, save for this last one.
Calvinists do indeed believe that God commands all men everywhere to repent. Hyper-Calvinists may add extra words, but true Calvinists, like Calvin himself, take the words as written in the Bible.