You ask "do we have enough data". Well, the same data that gives us evidence of prior climate events is the same data that shows human emissions are climatologically significant. So if we have enough data to study random changes, we have enough to study the changes we are causing.
If you want to take a stance against man-made climate change, you'll actually need to do your own research first and have a really good reason why it's wrong. Can you yourself list all the data sources that go into climatology and why they aren't adequate?