Android have button on keyboard that switches custom keyboard to user specified default keyboard

Question

I have a custom keyboard in Android. I want to have a button on my keyboard that when pressed will hide my keyboard and show the keyboard that the user has specified as the default keyboard. (If worst comes to worst, I will accept a solution that just shows the default Android keyboard that is not specified by the user).

I tried this code:

 private void showSoftKeyboard()
{
    InputMethodManager imm = (InputMethodManager) getSystemService(Context.INPUT_METHOD_SERVICE);
    imm.toggleSoftInput(InputMethodManager.SHOW_FORCED,InputMethodManager.HIDE_IMPLICIT_ONLY);
} 

But that did nothing.

What should I do?

Edit One:

I am documenting my progress in figuring this out.

So far I have figured out how to get the default user set keyboard:

String currentKeyboard =  Settings.Secure.getString(getContentResolver(), Settings.Secure.DEFAULT_INPUT_METHOD);

Based off of this post: How to detect if user's keyboard is Swype?

I believe there is a method in the InputMethodManager class that allows you to set the InputMethod. I believe this is true due to this post: Android: switch to a different IME programmatically

Now I just have to figure out how to figure out how to get the id of the default keyboard and then I can implement this feature.