For me it depends upon the time available.
Weekends/holidays: No contest - Proper grilling, or smoking, on the charcoal Weber.
After work mid-week: Weber Q - simply for speed/convenience. Charcoal gives better tasting food but a suitable rub goes a long way towards offsetting the difference.
tdracer
Which smoker have you bought?
Smoking on the Weber gives good results (especially with a Smokenator) but I'm tempted to buy a 'set it and leave it' smoker one day.