Aside from the fact this is factually incorrect, it's also a bad argument, as most people who propose paradigm-shifting theories are wrong.
Using this argument associates you with a lot of crackpots a lot more strongly than it associates you with Galileo.
I shall supply a snippet of the Galileo affair that corroborates my hand-wavy statement:
"One of the first suggestions of heresy that Galileo had to deal with came in 1613 from a professor of philosophy (what we would now call a professor of scientific theory), Cosimo Boscaglia, who was neither a theologian nor a priest. In conversation with Galileo's patron, Cosimo II de' Medici, Boscaglia gave the opinion that the telescopic discoveries were valid, but the motion of the Earth was obviously contrary to Scripture." http://en.wikipedia.org/wiki/Galileo_affair#Bible_argument
"...most people who propose paradigm-shifting theories are wrong."
Galileo's success worked against him - other paradigm-shifters were not legitimate threats to the status quo.