First thing to do is ask if they have ever done a windshield replacement on a 370Z before. If not, make them send another tech that has done at least 3-4.
Even experienced repair techs can break the clips holding on the exterior A-pillars so request they bring some just in case (most do, but I like to keep extras on hand). Check all of the clips after removal and demand they replace any prior to reinstallation. There is also a chance they could break one or more of the built-in seats on the A-pillar that hold the clips; demand replacement of the entire A-pillar if that happens. You wouldn't be the first person to have the A-pillar fly off at highway speeds a few weeks after a windshield replacement.
Last time I had it done, I had all the necessary interior trim pieces and engine cowls removed when the guy showed up. We each removed one A-pillar and then I let him do the windshield replacement himself. We split the work putting everything back together as well and he gave me a discount on my deductible
