I just did a test thing on my aging Win7 32bit laptop with 4 gig of RAM, which is woefully underspec'd compared to even a modest DAW these days, and I managed to get 10 instances of LP-64 running quite fine, with CPU headroom to spare, even at 5.8ms latency.
While I absolutely agree this isn't the EQ you should be using on a track by track basis, on a machine that's much higher spec'd than mine, a single instance of it shouldn't be bringing it down, let alone multiple instances like I was running.
I'd be looking at what else you have running in the project first to see if this is pushing it over the edge (very possible) but if the project is fairly modest, or barely hitting your CPU without the LP-64 on there, I'd be suspecting something else that's causing the issue that this plugin is exposing. Perhaps a re-scan might help? Or trying this in a fresh project - something could have gotten screwy in this particular one (I've had similar weirdness with the Channel Tools plugin in the past, for example).