Well, if I'm not mistaken, the LCD has a Power consumption of 0.8 Amp according to the specs. As the power supply is rated 15 Amps, you could theoretically power 18 LCDs from one PSU.
Well, if you want to power 36 LCDs, yes :-) : 18 on each (don't ever connect the power supplies outputs in parallel).Can I simply use 2 of These
The only thing you may want to add is one in-line fuse near the power supply for each wire going to an LCD. Although the PSU is protected by a fuse too, that will make sure your lines don't overheat in case of wrong wiring, and if one line is shorted, the other ones will still be powered... 1Amp fuses should be OK. (If the power-on peak blows the 1Amp, try with 2Amp but I wouldn't go higher)
Before you forget about it, test your setup with a single LCD, check voltage and current, then proceed with the other ones, and finally let the whole setup run for a few hours, regularly checking that nothing overheats (PSU, LCDs, power connections, ...), and off you go !