Sheep is a metaphor for follower. Although believers are followers, they are not born followers and never get four legs and you cannot pull wool over their eyes. Sheep is not a term used frequently in Acts and the Epistles as parables and metaphors were not needed. Although men do not seek God, He seeks us, and we can choose to believe as faith comes by hearing (Romans 10:17) and we can choose what we listen to.
John 5:24 “Very truly I tell you, whoever hears my word and believes him who sent me has eternal life and will not be judged but has crossed over from death to life.
I agree, there are several examples of Jesus trying to save people who will not be saved.
“But the testimony which I receive is not from man, but I say these things so that you may be saved.”
John 5:34 NASB1995
Jesus said this to people who were seeking to kill Him and at the end of the chapter He says that Moses will be their accuser.
“And He began telling this parable: “A man had a fig tree which had been planted in his vineyard; and he came looking for fruit on it and did not find any. And he said to the vineyard-keeper, ‘Behold, for three years I have come looking for fruit on this fig tree without finding any. Cut it down! Why does it even use up the ground?’ And he answered and said to him, ‘Let it alone, sir, for this year too, until I dig around it and put in fertilizer; and if it bears fruit next year, fine; but if not, cut it down.’ ””
Luke 13:6-9 NASB1995
Notice despite Jesus’ efforts to save the tree the outcome is still uncertain and is dependent upon what the tree decides to do.
“I gave her time to repent, and she does not want to repent of her immorality. Behold, I will throw her on a bed of sickness, and those who commit adultery with her into great tribulation, unless they repent of her deeds.”
Revelation 2:21-22 NASB1995
Same situation here
“Or do you think lightly of the riches of His kindness and tolerance and patience, not knowing that the kindness of God leads you to repentance? But because of your stubbornness and unrepentant heart you are storing up wrath for yourself in the day of wrath and revelation of the righteous judgment of God,”
Romans 2:4-5 NASB1995
And here. These verses, along with many others, destroy Calvin’s theology.