I think often being an "A" student is considered synonymous with being competitive and cut throat.
Students earn that A grade for a variety of reasons. Some, of course, are motivated by competitveness and feel the need to be at the top of the class. Others are simply academically gifted and are able to earn those grades more easily than others. Other students have aspirations beyond the LPN/ADN/BSN and realize that they must maintain a high gpa in order to make it into a graduate program. And some recieve a lot of personal gratification from knowing that they have worked really hard to get high marks, even if a B or C was sufficient to pass.
There are many motivations for wanting an A. Not all of them are due to competitiveness. And just b/c someone is competitive does not mean they are cut throat. You can be competitive and still know how to play nicely.
I am willing to venture, that if you enter a program that had a very competitive application process, then you are much more likely to encounter highly competitive classmates than in programs with less difficult entry requirements. I'm applying for a fairly competitive program, but I can't say that I've encountered anyone who was "cut throat" in their attitude towards other program hopefuls. Good luck in your new program and hopefully your new classmates will be an agreeable bunch!