If your problem is only with function overloading (you need to check if 'parameters' parameter is 'parameters' and not 'callback'), i would recommend you don't bother about argument type and
use this approach. The idea is simple - use literal objects to combine your parameters:
function getData(id, opt){
var data = voodooMagic(id, opt.parameters);
if (opt.callback!=undefined)
opt.callback.call(data);
return data;
}
getData(5, {parameters: "1,2,3", callback:
function(){for (i=0;i<=1;i--)alert("FAIL!");}
});