Are fluorescent tubes dangerous?
You can safely disassemble the unit without risk of shock, so long as the power supply is disabled or removed.
The shield is there to isolate the CCFL operating voltage while the CCFL is on (it's also the backlight reflector / baffle.) The CCFL voltage can be quite high - hundreds of volts - so safety rules mandate that separation from the low-voltage parts of your system.
When the CCFL is off, both ends are essentially ground (one end actual ground, the other the inverter's transformer secondary coil, then to ground), so the CCFL would not tend to store charge by itself.