OK, I understand. There is no possible hazard in the globe and LED casings touching. If you have a multimeter, you will see there is no continuity between the LED case and Fluorescent bulb. The only thing to worry about, is them both being submerged in water.(The resistance of the water in the fish tank is probably in the kilo-ohms range). Or the conductive parts of the LED and bulb touching. But, if you mount them well, you will be fine. (glass against led is fine, since glass is one of the best electric insulators there is). But in the video your led's are actually mounted real nice and neat (well done). Give it a try. Let me know the results.
Oh yea, one last thing, are you sure about the supply voltage that you're feeding to the led's?
Hanno