Hi Weng,
Motorola has their own Bluetooth low energy API and the App written for that will most probably not work on your Galaxy tab (not dependent on the hardware in this case but you are right on that point as well).
Bluetooth low energy is only supported on BT 4.0 and higher. I am not to familiar with Bluetooth Classic /BR/EDR but if you really want to communicate with you tablet it might be that that is a solution (or WiFi) but you wont get the low power consumption you might want.
Best Regards