I mean, can they be compared? Sure. The very use of the terms "Islamic fundamentalism" or descriptions of Wahhabism as "puritanical" are terms borrowed by comparison to their Christian equivalents.

But to what end? These groups didn't influence one another, they don't share an ideology, they weren't part of shared social dynamics, they didn't emerge among similar cultural/social/geographic/etc. milieus. I could go on.

It might be useful to students of comparative religion, but my own bias is to avoid such comparisons. If you want to understand Wahhabism, then study Wahhabism, not Christian Puritanism.