Hmmm. This one is strange and unusual, but :
1. Nope, you already have the Extremes. They are, btw, not set up for maximum wattage but for sound quality and current.
2. The line arrays are obviously no problem for the amps, and I really don't know if the amps or the speakers give up first.
3. 118 dB ???? Are you serious ??????? I'll take it that you don't live in an apartment complex.
4. At that volume, you are in some serious Rock Concert territory.
5. If you really want to get that much dB, then obviously the finer things of an audiophile system will never apply. So yes, you have the wrong amps or speakers for that matter.
Maybe some pro-amp and JBL based system will do this. We're talking about impact at that volume level, not soundstaging or micro-dynamics.
6. If you want your cake and eat it too, having both, an audiophile / music lovers system and a Rock-out system, you might want to look at 2 systems then.
7. Disclaimer/// I have heard one system that did both things very well, which was a big Wilson / Kraft 400 based system in a big room. Even then, I remember the customer having a ratshack level, and it was around 110 - 115 dB. How would I describe it ??? The worlds most expensive hair dryer.
But, anyway, if you are really hung up on high volume, then indeed, give a high Wattage amp a try. However, if you do a lot of regular volume listening and also appreciate the finer things , then please listen carefully.
Good luck,
Klaus