Again this is a dc circuit, the combined resistance of the bulbs + the series resistor sets the current draw with a fixed voltage. you are trying to use the bjt as a current source with variable resistor at its base to control that current. but it cant sink more current then the resistor at the bottom + the resistance of the bulbs. you might as well just replace the bjt with the tapped resistor you have on its base. I just dont think this circuit requires the added complexity.as long as you have a fixed R and a fixed voltage you will have a fixed current. yes as the voltage drops the current will drop proportionally. If you are worried about dimming you could add a series current regulating circuit of some kind, but it will make the run off occur faster, in other words if you have at the end of the battery life, x time of dimming, without current regulation, and then add a current regulator, your bright life might increase a fraction of time x, but your total time lit ( bright + dim) will decrease, the dimmed time will last maybe half as long or so( think of it in power, the dimming is the voltage and current dropping, so P is dropping which means it is consumed at a lower rate, if you fix I and allow only V to drop, then your P will still be decreasing but at half the rate, so your total time of dimming will be near half).