Just patching it isn't gonna magically give your monsters high HP, you have to hex-edit the third digit of each monster you want to have over 65535 HP after you've patched it.
Imzogelmo's patch notes tells you the exact location of the third digit, and for each value above 00 you add to that digit, the monster's HP goes up by 65536. You will have to use a hex editor to do it, and I don't have time to do it for you, sorry :P
0FD150-0FD2CF CFCF50-CFD0CF 384 Used by Cklein0001's 24bitHP as 3rd byte of HPGo through the monster list in FF3usME, and the monsters there are in order of where the third byte is, So say you want to edit Guard's HP to be over 65535. Guard is the first monster in the system, so you'd load up a hex editor and scroll down to 0FD150 (that is the beginning of where the third hex value for monsters' HP is once you've patched it) then modify that...if you wanted to add 65536 HP to the guard, you'd change the 00 to a 01. As you've probably noticed, there are 384 monsters in the game, and there are 384 bytes with which to use for the third byte for HP.