Except that the period of concern is the past 150 years, and particularly the past 25-30. Those long-period cycles don't really exert a significant influence on shorter time-scales.
True enough, but the short term fluctuations are well within historical swings anyway. Did you read, in particular, my link to the Norway ice core study? It showed that the planet's warmest decade was the 1930's. The data simply don't fit the predictions of the models; not in the past, therefore very unlikely in the future.