Just no; the statue does not have to be a moose for the statement to be true, the statement is implying that there are moose or even multiple moose attempting to fuck other people in ways they would rather not be.
It could be taken as 'Weird, Moose-Fucker,' while it could also be taken as 'Weird-Moose, Fucker', knowing the name of their gay pride site one can ascertain that I meant the latter. This would explain to the reader that they are weird moose (people?), who are also fuckers. It would be weird to see a moose fucking a statue would it not?