What should I do if my advisor and committee members want me to do two different things? My advisor said that when I write my thesis I should staple together my three papers.  One of my committee members says my thesis should have a unifying theme and a narrative that ties together all the papers.  My advisor thinks this is stupid and explicitly told me not to listen to my committee member.

Both of them have to sign off on my thesis.  What should I do?
The way you present it, it sounds like the two are mutually exclusive, but they are not really: a "stapler thesis" generally contains an introduction and a conclusion that are there to tie the papers together into a whole. This implies a unifying theme and a narrative. It's only a few pages, but it makes a big difference.

You should probably at least make some effort to introduce a narrative, despite your advisor's opinion. Of course you know them best, but in general it's less likely that someone would refuse to sign off on something because you put in more effort than they thought warranted, and more likely they would refuse because you didn't put in enough. Better to err on the side of doing more.