How to get ActionBar view?

Yep. You can actually get the view by using this function:

public View getActionBarView() {
    Window window = getWindow();
    View v = window.getDecorView();
    int resId = getResources().getIdentifier("action_bar_container", "id", "android");
    return v.findViewById(resId);
}

Pretty much the way this works is that the actionbar container uses the id android.R.id.action_bar_container, but this id is not public. Therefore we use getIdentifier() to retrieve this id and then the rest is simple.

I think this solution is more complete, handling both normal Activity and ActionBarActivity.

It also handles the case that the actionbar was set using a toolbar, but you need to implement it in the activity you've created:

public static View getActionBarView(final Activity activity) {
    if (activity instanceof IToolbarHolder)
        return ((IToolbarHolder) activity).getToolbar();
    final String packageName = activity instanceof ActionBarActivity ? activity.getPackageName() : "android";
    final int resId = activity.getResources().getIdentifier("action_bar_container", "id", packageName);
    final View view = activity.findViewById(resId);
    return view;
}

public interface IToolbarHolder {
    public android.support.v7.widget.Toolbar getToolbar();
}