Plot hole: The whole scenario is fake and everyone at the bar is an actor, so why would they call the real cops.
Suggested correction: To specifically get the cops involved so Neal feels more in danger. LIVE Corporation basically filed a false police report, which Wendy Colton said the cops can talk to the company's lawyers about.
Stupidity: Throughout the entire series the CSI's on several occasions will describe, in great detail, the procedure they are doing to another CSI. This makes no sense since they have all been CSI 's for years and should already know how it's done. Obviously this was done for the audience so they could follow along.
Suggested correction: While this is obviously the case, and it's a common script technique, I have worked with several people who will explain in great detail what they're doing (or worse yet explain what I should do) despite the fact I've worked there longer and know more than they do. But to avoid contention at the work place I just let them talk and pretend to listen.
