I'm doing the same thing, running and continuing my weight training at the same time. I'm just as addicted to running now as I am to WT, so I'd hate to have to give one up

So far, the WT has been supplementing the running, and I haven't seen any conflicts.
My way of thinking about it is that my body will never be in one constant state of being. When it comes to fitness, for me, there's no finish line. Once I meet my goals I make new ones and my body adapts to fit those new circumstances. If I ever choose to run a marathon I won't be doing it to lose body fat, I'll be doing it for the personal challenge involved and for the love of the sport. If I lose a bit of muscle mass doing so then I'm sure I will be able to gain it back with time. By the same token, if I choose to set a goal of lifting x amount of weight by x date, then I might lose some endurance with running but that's fixable too. If I choose to rock climb, kayak, swim, etc...
Anything that makes you motivated to work out is good. Do what's keeping you interested and what you love to do.
Of course, this might not be the best thing to post in LWL. Please don't shoot me
