WC is definitely a fighting system. But look at how it gets you there. You don't simply learn a couple of techniques and put on some gloves and go at it with an opponent. WC gets you there by helping you train your body in new ways. It develops reflexes, flexibility, whole body unity, springiness in the muscles, balance.... not just standing balance, which is important to any sort of physical endeavor, but whole body balance, in other words , avoiding extremes. Things learned in WC not only develop you as a fighter, but I believe that it develops you into a better person.
You don't have to stop strength training, necessarily, but step back and look at it from an overall approach. If you are too tight and tense to train WC, chances are your body is too stiff for other things....volleyball,bending over to pick up a baby, scratching your back...whatever. I'm sure you have an impressive physique, but are you out of balance? You may need to alter your approach to training.
But don't give up on WC simply because it's difficult...I admit, WC is very hard to get a handle on, I trained in another kung fu system for 14 years before I came to WC...and it was all new to me, but I stuck it out and I have reaped tremendous benefits from it.
Anyone who weight trains like you do, obviously isn't afraid of hard work, so I challenge you to give WC a try....BTW kung Fu literally translated means "hard work."