"Science" can do as much science as it wants on its own dime then. Public funding should be guided by public oversight, not career bureaucrats.
You say "career bureaucrats" as if they can't be fired or controlled, but that's obviously wrong (since they're being fired and/or controlled right now).
QED, they ARE still under public oversight. (1) Voters vote for (2) elected officials who oversee (3) agency bureaucrats.
Isn't congress the elected, public oversight body? Or are you proposing that each and every employee of the federal govt be elected to prevent the horror of the 'career bureaucrat'?