Q: In spoken, is 'with' droppable in "I won't let you through with this" 
I won't let you through with this.

I've heard the sentence in an American TV show. The scene is in a security check point. A man carried something that was suspected to be a bomb, so the security staff said it. 
But to my ear, the guy who said the sentence didn't seem to pronounce the word 'with'. It sounds much like:

I won't let you through this.

So, I'm wondering if the 'with' is droppable in spoken? 
By the way, the man probably spoke the African American English, but I'm not exactly sure.

A: It depends on what the speaker actually wants to say. 

A. I won't let you through with this.

You can break (A) down like this:

I won't let you [go] through [this metal door] with this (= the bomb/briefcase/belt).

Compare this with 

I am sorry sir, but I can't let you enter the building with that gun.

The speaker could also have meant this:

B. I won't let you through this.

You can break (B) down like this:

I won't let you through this (= the metal door/check point).


A: "With" is often not stressed. And especially when followed by a word beginning in "th" it may be shortened. 
But the w sound (at least an exhalation of breath) should not be fully dropped, and in writing we wouldn't omit the "with".
