In the example exactly as shown, each individual emitter current is controlled by a separate resistor. Therefore, no current sharing is necessary; the bases will each draw as much current as they need, and no base resistance is required -- anywhere, not even by the switch.
Possible gotchas: emitter followers can have a negative input impedance, which can cause oscillation. A series "base stopper" resistor can be helpful to limit this, especially if bypass capacitors (on any combinations of two terminals, B-C-E), or long wires, are present.
If the emitters are common, however, you are paralleling transistors and must observe correct use:emitter resistors, since the effect is hFE times more reliable than base resistors (which however might still be required for the above reasons). This is fundamentally because transistors are transconductance devices (voltage in, current out), the base current is only a convenient side effect of their construction (e.g., hFE varies all over the place, Gm follows a well defined function).
Tim