The text in question is very clear about what God does, with respect to people who end up deceived and damned. There's no need to repeat it.
The text in question says nothing about whether God sends those people "overwhelming proof before delusion" as you put it. Nothing can be said about that from the text.
However, there are many texts that show God considers the whole realm of mankind to be without excuse. It also shows God's patience in allowing them time to repent. It shows that we are still in "the Day of Salvation" and that "the last trump" and "the last hour" have not yet arrived. This means that there is still time for people to repent, prior to the angelic declaration at the last that "the hour of his judgment is come" (Revelation 14:7); when "there should be time no longer" (Revelation 10:6).
All around us we see people who choose to believe what they want to believe, and no amount of reasoning can sway them because that's the way they both see it, and want it. As American economist John Kenneth Galbraith said, "Faced with having to change our views or prove that there is no need to do so, most of us immediately get busy on the proof." Also, as Anais Nin commented, "We don't see things as they are. We see them as we are." And that will never be more true than at that time of gross deception and delusion.
When God sees those who refuse to love his truth, he does not plead with them, or try to reason with them. He gives them what they really want - this delusion that plunges them irreversibly into damnable lies that are against God's truth. This is a case of the biblical principle being worked out - "They have sown the wind, and they shall reap the whirlwind". - Hosea 8:7
Only God can rightly judge when individuals refuse to love the truth, for he reads hearts and minds. He sees the secret things, and the secret thoughts and secret heart's desires of everyone. On the Day of Judgment everything hidden will be revealed (Matthew 10:26), and each individual will realize that God has judged them aright, with total truth and total justice. Despite all their love of unrighteousness, they will have to confess that God's judgments are true and righteous, because he is true and righteous.
God does not need to explain himself or his actions to anyone. Yet he has chosen to reveal certain things to humanity. That revelation may be ignored or scoffed at by many, but that will not prevent them from having to admit on the Day of Judgment that God judged them correctly, for all the things they thought would remain hidden and so give them an argument to keep on defying God's truth will be exposed by God.
There can be no inference from the text that "we [can] infer that this text also means that God will send some supernatural proof such as (some or all) Christians being able to perform same miracles as apostles." [sic.] The text in question gives no reason for supposing that.