Yes, it's after the thousand years. I agree. But, where did Peter indicate that it would be long after Christ's return?
Peter only speaks of the end of the world, not of anything before. Jesus speaks of the end of this age of man's unrighteous rule on earth.
John reveals Satan will also be shut up during the His Millennium, that will expire before the end of this world.
The context of what he wrote in 2 Peter 3 does not fit that theory at all. Peter told his readers that they "ought to live holy and godly lives" while they look forward to the day of the Lord (that day will be glorious for believers and terrible for unbelievers).
Since you say you will be among the nations to be judged by your works, then you best get to work doing good to all you can.
In any case, you acknowledge we are judged by our works, and not by faith alone.
He told them that because he didn't want any of them to experience the Lord's wrath that he described. Why would he tell that to his readers if none of his readers could possibly be alive at that point?
He warns His disciples not to turn back to sinning, so that they will be resurrected to meet Him at His coming, before He sends His plagues on earth.
so why would he warn his readers to pay attention to how they are living their lives in anticipation of that day if that day wouldn't even happen until 1,000+ years after Christ's return
For yourselves know perfectly that the day of the Lord so cometh as a thief in the night.
The prophecy is of the day of the Lord's judgment coming on earth.
The day of the Lord is already come, when He came in the flesh, as prophesied by Joel and confirmed by Peter in Acts 2. The day of the Lord remains here in the body of His church. The day of the Lord will also be as a thief at His second coming, and the day of the Lord will finally come to Gog and Magog on earth, after His reign expires on earth.
It is implied here that Peter's words should be heeded by all of his readers since the day of the Lord would come unexpectedly like a thief.
That day has already come to earth, and His own recieved Him not. And some of His own will also be left on earth for hypocrisy at the first resurrection of His church. And all Gog and Magog will be destroyed, when they surround His own beloved city and camp.
That makes no sense because it takes the passage out of context.
You don't know what the day of the Lord is, much less that it is already come to earth, and will remain on earth, until the end of this earth.
Unless of course you want to say the Lord is not come to earth.