By "dependent clauses on either half of a sao", you mean the {tlhIngan maH; taHjaj}

No. tlhIngan maH; taHjaj is not a sentence as object as defined by TKD. It is two sentences, pushed together because they're closely related.

You could put dependent clauses on either of these sentences and it would still be grammatical (though it would mean something else).

maquvchugh tlhIngan maH; taHjaj
tlhIngan maH maquvchugh; taHjaj
If we are honorable, we are Klingon; may it continue.

tlhIngan maH; maquvchugh taHjaj
tlhIngan maH; taHjaj maquvchugh
We are Klingon; if we are honorable, may it continue.

When I say "dependent clause," I mean a verbal clause with a type 9 suffix on the verb that makes it need to have a main clause. These are described in TKD as "subordinate clauses," "relative clauses," and "purpose clauses."

-- 
SuStel
http://trimboli.name