The whole "abolish ICE" movement seems to revolve around conflating the two - an awful lot of the things people point to when justifying their calls to abolish ICE were actually done by CBP.

Like what?

I recently saw this article presented as an example of how ICE mistreats people: https://www.latimes.com/nation/ct-children-border-patrol-fac...

It's totally understandable that people are confused by the distinction between CPB and ICE. I certainly was baffled myself, until I spent a big chunk of time digging into it. And I still don't fully understand the multiple transfers of custody between those agencies, plus ORR which often ends up having custody of unaccompanied minors.

It's hard to imagine how abolishing ICE alone would resolve the humanitarian issues. I think it's reasonable to assume "abolish ICE" is really referring to a broader reform encompassing all of ICE, CBP, and ORR.