  We study the decay processes $B \to K \pi$ by using generalized decay
amplitudes with both the final state re-scattering strong phases and the
topological quark diagrammatic strong phases included together as part of
fitting parameters. Using a generalized approach, so called ``isospin phased
topological approach'', for all the currently available data of $B \to K \pi$
decays, we determine the allowed values of the relevant theoretical parameters,
corresponding to the electroweak penguin, the color-suppressed tree
contribution, strong phase differences, etc. In order to find the most likely
values of the parameters in a statistically reliable way, we use the $\chi^2$
minimization technique. We find that the long distance final state
re-scattering, when taken at proper value, can provide a reasonable fit to the
standard model with the perturbative QCD estimated values, and therefore, it is
premature to conclude that it requires new physics to explain the CP violating
$B \to K\pi$ data.
