If I have a class like this :

class someClass()
{
function __constructor(string $name)
{
}

}

And I declare an instance of someClass by typing

$myClass = new someClass

The code completion system pops up with the constructor as the first method but it pops up like this someClass::__constructor(string $name), followed by the other public methods.

If I select the constructor method then the code is changed to this.

$myClass = someClass::__constructor()

What I would like is PHPed to be clever enough and realize that I am creating an instance of the class and then only display the __constructor method, and only display the parameters as a hint, so I do not have to go back and change the code to

$myClass = new someClass(

then the parameter hint is displayed correctly.

no. Code completion will not do this after NEW keyword. In other words, with code below it will show only class names:
$myClass = new som|
(where | denotes cursor location)

probably you forgot new keyword