The name came from Ted Kennedy. Reagan announced SDI on March 23, 1983
-

"I call upon the scientific community in our country, those who gave us
nuclear weapons, to turn their great talents now to the cause of
mankind and world peace, to give us the means of rendering these
nuclear weapons impotent and obsolete. ... I am directing a
comprehensive and intensive effort to define a long-term research and
development program to begin to achieve our ultimate goal of
eliminating the threat posed by strategic nuclear missiles. This could
pave the way for arms control measures to eliminate the weapons
themselves. We seek neither military superiority nor political
advantage. Our only purpose - one all people share - is to search
for ways to reduce the danger of nuclear war."

The next day, Teddy the K issued a press release that called Reagan's
proposal "misleading Red-scare tactics and reckless Star Wars schemes."

And one point left out of the list - Robert Bowman is a loonball.