I have a 04 Liberty along with the BDS lift. I have ran it for nearly 2 years. I had my local 4x4 shop install the lift but within the first year I ended up installing new front struts and rear shocks (Rancho). The noise you are facing could very well be from a couple things.
A.) I forgot to tighten my sway bar bolts. Everytime I hit a bump or turned the Jeep it would be a nasty clank, clank sound. I ran through the bolts and found that I could easily turn the sway bar bolts.... wooops!!
B.) My upper A-arm was making contact with the coil. You could try and pad the coil side facing the A-arm. I ended up buying Al's Upper A-arms and it removed all contact issues.
C.) Struts are blown. Within the first year my front struts blew. It was a nasty bashing noise every time I went over a bump. I replaced the front struts with Rancho struts and the ride difference was amazing. I also replaced the rear shocks with Rancho's.
I have not had any noise issues after the these upgrades. I do stuff 265/70/16's under the wheel wells which contributed to some rubbing noises. A pinch weld modification and fog light door modification and the noise is gone. However, I can't do major off road cause any stuffing of the tires may not be good for the fenders! LOL. I plan to get the FrankenLift in the next year or so.