The problem with climate change is precisely this.
In order to convince everyone we need evidence. However evidence, strictly and scientifically speaking, can only be produced once a phenomenon is fully observed, understood, and reproducible.
In the case of climate change that means waiting for the changes to fully happen, which would be too late if climate change is indeed real.
So you are left with a choice: trust the partial data we have and conclude that climate change is happening, or deny it and hope it never materializes. The third option would be to consciously prefer to wait for climate change to fully materialize and only then take action, but this to me sounds a bit suicidal.