I want to hack a device which connects via USB, and plug a bluetooth USB dongle to the end of the USB cable (using a female to female adapter), and then connect to that device from another USB bluetooth dongle connected to my computer.

How can I do this? It is straightforward? I don't want to spend $30 before I know how to do this.

Also I think another concern is that the USB cable is providing power to the device. So I think that means I would also have to hack it for power.

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I have created this diagram in Photoshop to illustrate my intent:

(NOTE: it won't be a USB mouse, as that would be pointless because there are already wireless mice in existence. The mouse is displayed for illustrative purposes)

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Don't tell me "it won't work". Because I KNOW it WILL work. Think for example, PS3 controller. That works, and in fact I was able to get it working with my laptop, over bluetooth.

I just want to know HOW to make it work.