I've been to the actual Deli, the building with the 7up Logo.
where Mark grabs a bite,
it's called Franks Liquor in Hawthorne, CA
https://maps.google.com/maps?q=broadway+and+prarie,+hawthorne,+ca& hl=en&ll=33.920585,-118.344018&spn=0.003173,0.003449&sll=3 3.788026,-118.15611&sspn=0.287617,0.441513&t=h&hnear=Prair ie+Ave+%26+Broadway,+Hawthorne,+Los+Angeles,+California+90250&z=18 &layer=c&cbll=33.920586,-118.343943&panoid=DCz4Nl9HfmHyhNm 08UogXA&cbp=12,214.34,,0,-2.24
Of course everything has changed inside,thanks to modernity,
I didn't take any pictures because I just wanted to soak in the experience and was late for work.
The register dude of course never heard of Zabriske Point, but he did tell me they shot Fast and the Furious that same street.