SuStel:

Once again your noun-scoping defies my senses.
I would say this Hoch vIghro' mutmey all species of cat.

I too, like much more the solution of {Hoch vIghro' mutmey}, which you suggest.

And in the past, I've though of placing the {Hoch} in the first
position of a N-N-N construction, but here is another thing that
confuses me.

At the {Hoch vIghro' mutmey}, doesn't the {Hoch} *have* to act *only*
on the {vIghro'} ? Doesn't the meaning *have* to be "the species of
each cat" ?

No. In the rules of Klingon, almost any time you see the word noun, you can read it as noun phrase. vIghro' mutmey is a noun phrase. So in the noun-noun construction Hoch vIghro' mutmey, the first noun is Hoch, and the second "noun" is vIghro' mutmey, a noun phrase.

-- 
SuStel
http://trimboli.name