This is basically ASP.NET vs PHP.. If you (or the developers) have lots of experience with PHP, you use LAMP, or if they have used ASP.NET a lot, you chose WISA..
That said, while not strictly LAMP, Apache/MySQL/PHP will run on pretty much any platform you can name, which I would consider a big plus.
There is never more apparent than when you need to scale the platform out and you suddenly realize you need to sink mountains of developer time into making a scripting language as fast as a compiled one.
Arguing the benefits of a compiled language for web-applications is a bit silly, really. The language itself shouldn't ever limit the application, if it's designed sensibly.. Many big sites are coded in PHP for example. Again, that said, if the developers are familiar with ASP.Net, they are going to code better in that, so it will scale better.. Same with PHP.
Basically, choose a reasonable language that the developer(s) know, and then the appropriate server...