You asked what redshift has to do with the Big Bang. Evidently, there is quite a bit of research still needed to be done on your part before you attempt to discredit something you do not have a simple grasp of:
http://en.wikipedia.org/wiki/Edwin_Hubble#Redshift_increases_with_distanceScientists have been looking for observational evidence to discredit the Big Bang Theory for several decades. That's what the peer review process of science does best, discredit flawed theories. So far, the Big Bang explains all of the observational evidence we have gathered. If you have some piece of data that directly conflicts with this, publish your findings in a scientific journal. That will undoubtedly earn you a Nobel Prize, as oppossed to simply impressing the twenty people who happen to come across this question.