4 servos, yes, but what type/size? Micro, mini, standard, analog, digital? There's a huge difference in the current drawn which ultimately has to come from somewhere and that somewhere will be the BEC part of the ESC.
Let us assume a max BEC current of 3A
The Hobbyking LEDs you linked to are 2000mm long which at a current of about 400mA/metre will draw 800mA
If each of your servos draws 500mA there's another 2A gone and you're nearing the 3A max. but with still a little headroom.
However your servos may draw quite a bit more or quite a bit less. Can't tell till you let us in on the secret of what they are.