They are going to find more and more distant stars.
There is no evidence that distant objects are younger objects, we see spiral armed galaxies (these require galactic collisions) at 13 B light years out and there are cosmic structures that take up a fair percent of the sky that could not have been formed quickly, maybe not even in 13 B years and certainly at vast distances not in 1 or 2 billion years.
The CMB does not match a perfect black body, the perfect black body chart is and the CMB chart use different scales. Notice this is http://en.wikipedia.org/wiki/C... is in frequency and this is in wavelength http://en.wikipedia.org/wiki/B... --- those are opposite units of measurements.
The Big Bang was an idea from 1920s before the modern era of space telescopes. The Catholic Church jumped onto the Big Bang in the 1950s because it aligns with the idea of divine creation and to atone of the treatment of Galileo, etc.
The Big Bang is going to join geocentrism as one of those funny beliefs humans had in early days of science, although it might take 20 years or so.