Joseph, For the record I understand both Special and General relativity quite well. I have a BA in physics and studied both SR and a little bit of GR (Mostly its not done until grad school, tensor calculus is rather high level) as well as Quantum Mechanics.
In truth the difference between the Newtonian physics and relativity in terms of the solar system are pretty small. Except for the issue of the perihelion of the orbit of Mercury. and that amounts to 43 seconds of arc per century.
Your understanding of what Science is and how it operates is sadly lacking.