That was my first reaction as well: let's start mucking with earth's orbit, what could possibly go wrong? But the problem statement is trying to avoid being incinerated when the sun goes red-giant in a few billion years, so doing nothing is clearly not a viable alternative here.
On the other hand, given our current blase response to climate change, I'll give you long odds against human civilization being around in a billion years, or even a million -- or, for that matter, a thousand. And unless something changes radically in the next few years, I'll give you even odds against it lasting to the end of this century.