Node requires you to do nothing. If you aren't a fan of the way the Node module system works, simply don't use it.
//MyClass.js
MyClass = function ()
{
this.test = function(){}
}
//server.js
require('./MyClass.js');
var m = new MyClass();
m.test();
Now your application is compatible with what you have going on client-side. Just bear in mind that you are now creating classes in the global namespace, which is one reason for using Node's module layout.
I suggest also looking into some of the ways to use a Node-style require
on the client. There are many scripts available, such as RequireJS or Browserify.