Cherry stabs suck. They don't feel as clean as Costar, IMO. There is a mod whereby you clip them, and they feel much better.
I've seen this in one of WFD's vids. Would it be worth it to Do this?
Absolutely. I had this same problem with my Leopold and I even took it a step farther: I clipped all of the projections off of the bottom of cherry stabs. I also grabbed a pair of wire cutters and clipped the ends of the stabilizer bars and fished them out from between the PCB and the plate. Took a while, but I kept on it. I did this for all stabilized keys except the spacebar and I couldn't be happier with my Leopold. But I agree with Moose here: Costar stabs feel much faster (cleaner action, you know). The price you pay for this cleaner action is a bit of noise (chatter) but in my mind, it's totally worth the trade off.
Gahh. I don't want to desolder 87 switches to swap stabs 
I never desoldered a thing on my leopold. I just removed all the keycaps, removed the plate-component and the stems of the Cherry stabs, used wire cutters to remove the L-shaped ends of the stabs, fished them out (tricky) and bingo - this board is my daily driver. I replaced the plate-component of the stabs and the stems (but only after clipping all of the little arms off of them so that they could move up and down as freely as possible). Basically I just took WFDs advice as far as humanly possible without desoldering anything.
Note: I left the stabs on the spacebar - that's the only key, IMHO that really needs a stab anyway.
And I'm not kidding - I removed the stabilizer bar from every key except the spacebar. I have never, ever missed them and I never liked my leopold until I did.
Also note: I didn't replace them with Costars (although I wanted to at first) because I didn't want to de&resolder everything. I just left them out. Period. And I have never, ever looked back.