Quote positioning on a long sarcastic-explanation phrase

No, it would not it be more correct to close the quotation after "pose".

If you were to omit the quoted expression you will have:

...and they stand in the ISO-standard ... pose by the door.

which makes grammatical sense, even though you may not understand an ISO-standard pose.
On the other hand, if you were to include pose within the quotation, omitting the quotation would give you:

...and they stand in the ISO-standard ... by the door.

which is not grammatical (or you are left wondering what is the ISO-standard in which they are standing!).

No, it wouldn't be more correct, and in fact I'd argue it would be wrong. The phrase "security man waiting for you to walk through the door so he can escort you" is a parenthetical, and pose is not part of it, but rather the head of the entire noun phrase "ISO-standard 'security man waiting for you to walk through the door so he can escort you' pose". For all intents and purposes, you can regard ISO-standard and security man waiting for you to walk through the door so he can escort you as two adjectives on equal footing. Which is also the reason you could see both of them hyphenated rather than one of them enclosed in quotes, i.e. "the ISO-standard security-man-waiting-for-you-to-walk-through-the-door-so-he-can-escort-you pose".