We have renamed sites in the past when it became clear that their scope has either changed significantly or that the name was actively harmful. The most notable change was probably Fitness & Nutrition becoming Physical Fitness. So, in principle, we're open to discussing the name change for this site as well. There are some technical considerations with doing that on a graduated site since the site design has to be adjusted to use the new name, but we can cross that bridge if/when we come to it. That isn't a showstopper in and of itself.
With that in mind, we discussed this specific proposal internally and we think "Information Security" would likely be a better name. However, it's not clear to us that there is strong consensus within the community here that supports it or that "Information Security" would definitely reflect the scope of the site in the long term.
I personally favour "Information Security" over a much broader "Security". I think you guys should be careful to avoid expanding your scope so much that anything and everything that's related to some type of security would become on-topic here. You want to maintain a reasonably narrow focus so that you keep attracting and keeping experts in that topic. If you start mashing together too many things that sound similar but actually have very little audience overlap (for example, most IT security specialists are likely not into picking physical locks), you risk fracturing your site to the point where it's just not going to maintain a cohesive community.
We aren't going to make any name changes right now. We'd like you guys to take more time to discuss where you see this site heading. This meta post is a start, and it includes a few examples of questions that aren't a fit with "IT", but we need to see a more clear consensus and direction before we proceed.