You can't define whole disciplines of science to agree with random constraints that you invented. Instead, the purpose of disciplines of science is t… - Luboš Motl

According to polls, a majority (around 60+ percent) opposes the radar base. But it's not necessarily the sensible part of the Czech population. The demonstrations against the base are usually organized by communists, Islamists, and "peaceful feminists" (which is fortunately not a numerous group).

Lorentz symmetry might be broken but there doesn't really exist a glimpse of evidence or motivation why it should be broken. Such a breaking might be studied as a possibility, to some extent, but it would cause many problems, it would most likely return us philosophically before 1905, and the people who say that such a breaking is needed in quantum gravity are clearly wrong because string theory satisfies all the required properties of quantum gravity but it also respects the Lorentz invariance in flat space.

Your humble correspondent realizes that many readers are left-wing, anti-string-theory fighters. So they probably smoke marijuana and this is my modest attempt to help them.