Peter seems to have understood the restoration to be realized in Jesus and happening right then and there.
3:18 But the things God foretold long ago throughall the prophets – that his Christwould suffer – he has fulfilled in this way.
3:26 God raised uphis servant and sent him first to you, to bless you by turning each one of you from your iniquities.
Peter's speech in chapter 2 reflects the same idea. The promises of God were being realized in Jesus. Peter was not expecting something 2000+ years into the future - Peter thought he was experiencing those expectations right then and there.
Look around you, has the earth been restored to the condition it was in just prior to Gen 3:6? Do we really think this is the world God intended? Or is the current mess we are in the result of the influence of the Devil and sin? When Christ returns the first order of business is to incarcerate the source...
Rev 20:1 Then I saw an angel coming down from heaven, having the key to the bottomless pit and a great chain in his hand.
Rev 20:2 He laid hold of the dragon, that serpent of old, who is the Devil and Satan, and bound him for a thousand years;
Rev 20:3 and he cast him into the bottomless pit, and shut him up, and set a seal on him, so that he should deceive the nations no more till the thousand years were finished. But after these things he must be released for a little while.
Then we will see the earth transformed...
Isa 2:2 Now it shall come to pass in the latter days That the mountain of the LORD's house Shall be established on the top of the mountains, And shall be exalted above the hills; And all nations shall flow to it.
Isa 2:3 Many people shall come and say, "Come, and let us go up to the mountain of the LORD, To the house of the God of Jacob; He will teach us His ways, And we shall walk in His paths." For out of Zion shall go forth the law, And the word of the LORD from Jerusalem.
Isa 2:4 He shall judge between the nations, And rebuke many people; They shall beat their swords into plowshares, And their spears into pruning hooks; Nation shall not lift up sword against nation, Neither shall they learn war anymore.
Isa 11:6 "The wolf also shall dwell with the lamb, The leopard shall lie down with the young goat, The calf and the young lion and the fatling together; And a little child shall lead them.
Isa 11:7 The cow and the bear shall graze; Their young ones shall lie down together; And the lion shall eat straw like the ox.
Isa 11:8 The nursing child shall play by the cobra's hole, And the weaned child shall put his hand in the viper's den.
Isa 11:9 They shall not hurt nor destroy in all My holy mountain, For the earth shall be full of the knowledge of the LORD As the waters cover the sea.
Isa 11:10 "And in that day there shall be a Root of Jesse, Who shall stand as a banner to the people; For the Gentiles shall seek Him, And His resting place shall be glorious."
Isa 35:1 The wilderness and the wasteland shall be glad for them, And the desert shall rejoice and blossom as the rose;
Isa 35:2 It shall blossom abundantly and rejoice, Even with joy and singing. The glory of Lebanon shall be given to it, The excellence of Carmel and Sharon. They shall see the glory of the LORD, The excellency of our God.
Isa 35:3 Strengthen the weak hands, And make firm the feeble knees.
Isa 35:4 Say to those who are fearful-hearted, "Be strong, do not fear! Behold, your God will come with vengeance, With the recompense of God; He will come and save you."
Isa 35:5 Then the eyes of the blind shall be opened, And the ears of the deaf shall be unstopped.
Isa 35:6 Then the lame shall leap like a deer, And the tongue of the dumb sing. For waters shall burst forth in the wilderness, And streams in the desert.
Isa 35:7 The parched ground shall become a pool, And the thirsty land springs of water; In the habitation of jackals, where each lay, There shall be grass with reeds and rushes.
Isa 35:8 A highway shall be there, and a road, And it shall be called the Highway of Holiness. The unclean shall not pass over it, But it shall be for others. Whoever walks the road, although a fool, Shall not go astray.
Isa 35:9 No lion shall be there, Nor shall any ravenous beast go up on it; It shall not be found there. But the redeemed shall walk there,
Isa 35:10 And the ransomed of the LORD shall return, And come to Zion with singing, With everlasting joy on their heads. They shall obtain joy and gladness, And sorrow and sighing shall flee away.
Mic 4:1 Now it shall come to pass in the latter days That the mountain of the LORD's house Shall be established on the top of the mountains, And shall be exalted above the hills; And peoples shall flow to it.
Mic 4:2 Many nations shall come and say, "Come, and let us go up to the mountain of the LORD, To the house of the God of Jacob; He will teach us His ways, And we shall walk in His paths." For out of Zion the law shall go forth, And the word of the LORD from Jerusalem.
Mic 4:3 He shall judge between many peoples, And rebuke strong nations afar off; They shall beat their swords into plowshares, And their spears into pruning hooks; Nation shall not lift up sword against nation, Neither shall they learn war anymore.
Mic 4:4 But everyone shall sit under his vine and under his fig tree, And no one shall make them afraid; For the mouth of the LORD of hosts has spoken.