The NCAR link is probably the best for relating this to climate change:
So could a lengthy drop in solar output be enough to counteract human-caused climate change? Recent studies at NCAR and elsewhere have estimated that the total global cooling effect to be expected from reduced TSI during a grand minimum such as Maunder might be in the range of 0.1 to 0.3 Celsius (0.18 to 0.54 Fahrenheit). A 2013 study confirms the findings. This compares to an expected warming effect of 3.0C (5.4F) or more by 2100 due to greenhouse gas emissions. In other words, even a grand solar minimum might only be enough to offset one decade of global warming. Moreover, since greenhouse gases linger in the atmosphere, the impacts of those added gases would continue after the end of any grand minimum.
So perhaps a serious lull in solar activity could put some feeble brakes on global warming, slowing it down... temporarily, only to charge back when the sun gets over its issues.
I'm a meteorologist, not a climate guy, but I find the hypothesis that the current solar lull is responsible for the recent cold snaps in the northern hemisphere to be extremely dubious. Much more tenuous than the hypothesis that the meandering jet stream is happening due to the reduction in the north/south temperature gradient due from a reduction of Arctic ice cover, which itself is physically feasible but still not shown very conclusively.
The best way to get a grip on these issues would be to run many, many ensembles of weather models and coaxing out statistical links. And this is where weather/climate modeling is going, for good reasons... but as all the armchair slashdot climatologists will (perhaps rightly) point out, models have issues... but they are getting much better and ensembles help a lot to provide a handle on the probability that forcing A is causing response B.