Oh, I don't doubt we are having an impact to a degree either, which is probably larger than some would like you to think, but probably less than some others try to make you believe. Or, to round it down, probably somewhere in between.
We've known we were at the tail end of an interglacial period for some time, it's going to get mighty cold for around 60,000 years, as I remember it, that interglacial period is preceded by a period of Global Warming. The original estimate for that, though, was within the next 20,000 years. However, as far as I'm aware, there is very little data for the glacial-interglacial transition speed, we don't know how long it takes for an ice-age to get rolling.
So, are we having an effect? Yes. Is cutting back going to buy us some time? Yes. Are we, at the end of the day, spitting at a Tsunami? I believe that is quite possibly the case.