how these, the e.coli experiment and medium ground finch observation (primarily, the e.coli matter) SHOW... that humans, homo sapien... EVOLVED... from ANOTHER, DIFFERENT species
Lenski's experiment demonstrates the immense power of random beneficial mutations. In fact not just one mutation but a combination of mutations of the kind that exponents of IC claim can't happen. If by "show" you are implying "prove" then of course it does not prove any such thing by itself. The evidence for evolution is an immense accumulation of facts from a wide variety of disciplines but we have already said that.
The reason TD and I raised the subject of Gulls was to find out what you currently beleive about speciation. Even in your latest post you seem unclear in your own mind about it. At some points you seem ready to permit multiple species evolving from a common ancestor species and at other times you only seem to want to allow "sub-species". The example of gulls would have been a useful way to clarify your position if only you hadn't dismissed it so blithely.
Your particular area of interest seems to be in human evolution and specifically how scientists know that we share a common ancestry with other animal and plant species.
The answer is multi-faceted. If you asked a group of scientists what particular sort of evidence they find most convincing I am sure you would get a variety of answers but all of them would stress that it does not rest on one fact of group of facts. That is why a number of contributors to this thread have recommended you commit to studying a good introduction to evolution.
If I was pressed to choose one thing that I find most compelling it would be genetic evidence. The quantity and quality of evidence for human's common ancestry with other apes and our descent through unguided evolution that resides in every cell in your body is overwhelming. (okay pedants, apart from red blood cells)
Shelby I have been disapointed by your tactics in this thread. Your high-handed assertions that others refuse to, or can't, answer your question is so clearly unfair when you look at how much patience has been shown to you. Your posts have been the very epitome of obfuscation.