Shrink Totem 1's?

Are you out of mind?  Sorry to use that wording but chopping 4" in depth will turn the 9" sealed box to a semi-open baffled speaker, completely ruin the structure, design and sound of the speaker.  Consider donating them to a caring / loving home / owner please.  I will be more than happy to take care of them.

Could you possibly cut out the material in the shelf and/or wall so that the existing speaker enclosure could fit inside the cavity that results from said modification? This way, the strategic design of the speaker enclosure could perform its job as originally intended and you may be able to achieve an acceptable fit. there will likely be 3.5” of space between the inside dimension of the wall and at least 1/2” or more of wall thickness, which would give you the 4” that you are looking for. That’s what I would do.

Here is a solution.....Hollow out 4" of the wall to make room for the speaker.  Tim Allen will come to help.

Don’t know why you guys are jumping all over him. He’s established they’re old, beat up and expendable. I say go for it! The odds of a positive outcome are the same as zero, but if this in fact a legitimate thread, I personally look forward to reading the inevitable outcome. Like a slow motion train wreck, except no one gets hurt. 

@highendhound , if you're serious, that's more ridiculous than what he's gonna do.

Cut the speakers like you said, but instead of discarding the rear sections just use them to extend your shelves. That way your speakers fit without needing to be cut.