how do you propose to stop the climate changing when it has done constantly for the last 5 billion years with the temperature at some points being both a lot warmer and a lot colder.
You should be frightened, not comforted by past fluctuations. I once saw a climate graph which was a wild zigzag with a very, very short straightish bit at the end, representing unusual stability. The whole evolution of the human race happened towards the tail end of that tiny straight bit.
For most of Earths history, the climate would have made life impossible for us.
Fuck, you only have to back just over half of your 5 billion years, and as you step out of your time machine, you will immediately die as there's no oxygen in the air for you to breath. Plants hadn't put it there yet. (Google "great oxygenation event" for more info.)
Recently, watching the BBC series on planets, and Mars used to be blue planet just like the earth, then it lost it's magnetic field and started losing it's atmosphere, which leaked away into space. I wonder if that could happen to us.
What you should take from this is that the conditions that enable us to exist are hugely anomalous and could easily be different. And that's even before we start fucking with the climate. I don't think we should be poking it.