  We present a minimal model capturing the intriguing physics of the fractional
quantum Hall state at filling factor $\nu=2/3$. Inserting fictive reservoirs
\textemdash either Landauer Reservoirs (LRs) or Energy Preservings Reservoirs
(EPRs) \textemdash along the counter-propagating modes to mimic edge channel
mixing, the conductance is shown rapidly converging towards the
Kane-Fisher-Polchinski conductance fixed point $2/3 \times (e^2/h$) for both
EPRs and LRs. However, LRs give equal charge and thermal relaxation lengths
while EPRs show infinite thermal relaxation length. The Hall bar current noise
is found varying linearly with current at large bias, leading to an apparent
(or Fake) Fano factor $\simeq 0.19.../\sqrt{N+1}$ for N LRs, or exponentially
vanishing for EPRs. Withal, inserting a Quantum Point Contact in the middle of
the Hall bar reveals the recently observed $0.5e^{2}/h$ conductance plateau.
Finally, the 2010 Bid et al. first reported observation of neutral modes can be
explained by an upstream diffusive heat flow and delta-T noise, without
introducing any specific collective neutral mode.
