If crutch words are part of a quote, do we include them?

In general, no. We always (and only) remove the crutch words like and you know, whether they are within or outside of a quote.

Obviously, if the crutch words within the quote convey crucial meaning, such as someone giving an example of someone who says, well, like or you know too much, then yes, they should be included.

It's like he can't even get a full sentence out. He'll go, "Well, you know, we kind of, like, had to, you know, look into, you know--" and I'm just like, "Would you please just spit it out?"