Often, people may ask how to show that Buddhism is false or what’s a good argument against Hinduism or the New Age, etc. But in the end, one doesn’t necessarily have to argue against those worldviews as much as they need to give an argument for the Resurrection of Jesus.
The Resurrection is the central tenet of the Christian faith. The Apostle Paul stated that:
And if Christ has not been raised, then our preaching is in vain and your faith is in vain. We are even found to be misrepresenting God, because we testified about God that he raised Christ, whom he did not raise if it is true that the dead are not raised. For if the dead are not raised, not even Christ has been raised. And if Christ has not been raised, your faith is futile and you are still in your sins. Then those also who have fallen asleep in Christ have perished. If in Christ we have hope in this life only, we are of all people most to be pitied.
1 Cor 15:14-19
What this means is that the implications of the resurrection weigh greatly upon the Christian worldview.
So what does it mean if Christ was resurrected?
1. The New Testament is true
The New Testament is the account of the eyewitnesses to Christ's life, ministry, and resurrection as well as the history of the early church as it pertains to the actions of the Apostles in the years immediately after the resurrection. It also contains letters from the Apostles to the surrounding churches in the Greco-Roman world. If a man claiming to be God in the flesh stated He would be crucified and rise again after three days and did so, this would be the greatest evidence He was telling the truth. So, if the resurrection is true, then the NT can be trusted as factual accounts of that truth.
2. The Old Testament is true
Since Jesus referenced the Old Testament as being true, His resurrection from the dead that verifies His identity as God in the flesh would also verify the claims He made about the veracity of the OT. This means that the oldest stories in the OT - including Adam and Eve - would be factual.
3. God is real
Obviously, if one doesn't believe in God, a man claiming to be God and rising from the dead would seem to indicate that God does exist. However, Jesus has stated that even this wouldn't convince the hardest skeptic. But this does not diminish the strong evidential nature of the resurrection, it only describes the skeptic's state of mind.
3. Heaven and Hell are real
Jesus teaching on the reality of Heaven, Hell, and a coming judgement can also be trusted as He spoke of them as real places and future events. This means that each person must give an account for the lives they have lead and Jesus' teaching on salvation takes center stage. His death for our sins and His resurrection show God's love for us and a pardon for our crimes. Then the choice is clear, either Christ can pay for our crimes or we can.
4. All other worldviews are false
The law of non contradiction states that two opposing ideas cannot both be true at the same time and the same way. The statement "all religions are basically the same" or "all religions are equally true" are patently false. However, they could all be false, even Christianity. But, the resurrection would be evidence that the Christian worldview is true and all others would be false given the identity of Jesus being confirmed by the resurrection.
If you can show good, historically reliable evidence for the resurrection (and there is), then you have done most of the work in showing all other worldviews are false and have shown the truth of Christianity as Paul stated so long ago:
But in fact Christ has been raised from the dead, the firstfruits of those who have fallen asleep. 21 For as by a man came death, by a man has come also the resurrection of the dead. 22 For as in Adam all die, so also in Christ shall all be made alive. 23 But each in his own order: Christ the firstfruits, then at his coming those who belong to Christ. 24 Then comes the end, when he delivers the kingdom to God the Father after destroying every rule and every authority and power. 25 For he must reign until he has put all his enemies under his feet. 26 The last enemy to be destroyed is death. 27 For “God has put all things in subjection under his feet.” But when it says, “all things are put in subjection,” it is plain that he is excepted who put all things in subjection under him.28 When all things are subjected to him, then the Son himself will also be subjected to him who put all things in subjection under him, that God may be all in all. 1 Cor 15 20-28