One of my dealers claims that the CAT amps and Wilson Grand Slamm have some of the best synergy he has ever heard in audio. I do not remember which iteration of the Grand Slamm he was referring to, however, as that speaker changed over the years. Likewise, the WattPuppy 6 and 7 are different from the Grand Slamm and different from each other, so it is hard to say how helpful this recommendation is.
That said, the CAT amps are phenomenal (my best hi-fi friend has the JL-1 Limited Edition monoblocks) and will compare very favorably to any of the Lamms (or any other amp, for that matter). While Lamm makes really good gear, if I had to choose between CAT and Lamm amps with limited information, I would choose the CAT. The JL-2 is incredibly powerful and can drive really low impedences, so there is probably no need for you to buy the monoblock versions (JL-1's or JL-3's).
PS - I understand that the top Transparent speaker cables work really well with Wilson speakers, so you are probably off in the right direction there.