Those two steps will tell me if Mayer, a supposedly "technology" focussed CEO will be able to go head-head with Yahoo! IT. (It should say something that I even have to suggest the CEO of the company needs to go "head-head" with the IT organization)
I've seen much the same thing happen at a company I worked at in the early late 1990's and early 2000's. The CIO had a heroic moment years ago and used the political capital to run IT as he saw fit, catering to the email/web needs on the sales/business side, but demonizing engineers who had more stringent needs. (Even to the point of a crony calling the complaining engineers "terrorists" in a public speech shortly after 9-11.)
A real question would be "What do you have to do against company policy in order to get your job done?"
Now that's a real good question.
In more details: not having a parking barrier means you can just drive in the lot without stopping your car, opening your window, scanning your badge, putting your badge away, starting your car again just to stop just after in a spot. I don't know where Yahoo! HQs are but I'm guessing they are little use to check who is parking on their lot. So what does that change for employees? It removes one useless step in your morning routine.
Turnstiles are similar. Turnstiles are a bit uncomfortable and unnatural. If you can remove them, it just simpler. I doubt they just let anyone in, but you can put a couple of security people, a badge scanner and you're good to go. I know Facebook has something where you just badge and walks through without having to push a hard metal bar with your leg, hoping it won't catch your gym bag.
I'm skipping the steps because you stopped too far from the scanner
Try asking yourself the opposite question... "Can you change culture by adding turnstiles and parking barriers?"