Export from Illustrator to Flash problem with multiple groups and selection

New to both Flash and Illustrator, I have a vector graphic in Illustrator.  It was originally created in Adobe Ideas and emailed as PDF, imported to Illustrator and saved as AI file.  The file has a single layer with three groups, one for the outline, one for coloring, and a third for shading.  I'm importing this AI file into flash.

AI file comes over fine and looks great.  Within Flash, I'm trying to allow users to move/resize the image using Senocular's excellent transform tool:

http://www.senocular.com/flash/actionscript/?file=ActionScript_3.0/com/senocular/display/TransformTool.as

The problem is when I go to select the image, I only get one of the groups (either the lineart, color, or shading) and so when I try to move or resize the image "comes apart".

Because I will be moving and resizing I need to maintain the image as a vector.  I've tried exporting from Illustrator as an EMF file and then importing into Flash.  This solved my problem, but it decreased the image quality and created a few artifacts here and there.  I'd like to maintain the vector image quality, but not treat each group as a separate object.  

I tried to merge the groups in Illustrator but ran into problems because one of the groups (shading) has a different alpha-channel value than the others.  

Here's the code I'm using for selection:

import flash.display.Shape;
import com.senocular.display.TransformTool;

// default tool
var defaultTool:TransformTool = new TransformTool();
addChild(defaultTool);

// keep track of the current tool being used
var currTool:TransformTool = defaultTool;

// selecting objects on the screen
function select(event){
	if (event.target is Stage) {
		currTool.target = null;
	}else if (event.target is MovieClip) {
		currTool.target = event.target as MovieClip;
		toolInit();
	}
}

// for setting a new tool
function toolInit():void {
	// raise
	currTool.parent.setChildIndex(currTool, currTool.parent.numChildren - 1);
}

// event handlers for selecting objects and changing tools
stage.addEventListener(MouseEvent.MOUSE_DOWN, select);

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It seems like this should be obvious, but I've tried a number of things to no avail.  Thanks for any help!