I find that a kind of odd statement. First of all, I wonder what you mean by "major" hurricanes and making landfall. Is "major" category 3, 4, or 5? Does it take into account things like diameter? Is that ever, or just when it makes landfall in the US? I mean, it sure seems like you are carefully crafting you wording to exclude some pretty notable storms, like Dean, Felix, and Ike. And Sandy is a pretty dubious non-major hurricane, given that it had the largest diameter of any Atlantic cyclone, which was a large contributing factor to how damaging it was. And what's with the US mainland only caveat? Climate change only counts if the hurricanes happen to make landfall within artificial boundaries on a map? Felix didn't turn north after slamming into the Yucatan the same way WIlma did, so it didn't happen? Besides, I think if you actually applied your criteria prior to 2005, you'll find that it eliminates so many hurricanes that an 8 year gap isn't statistically anomalous at all.
When you have to get that oddly specific, you should be at least a little worried that you are cherry picking data to create "proof" of your already decided upon conclusion. If you instead just look at more general trends in quantity and strength of storms, it's pretty clear that we have had more and stronger hurricanes over time.