For visualization purposes, this hack I made seems to work.
"F" stands for "fake".

restart; with(plots):with(Statistics):
DiracF := x-> PDF(RandomVariable(Normal(0, 0.01)), x);

plot(subs(Dirac=DiracF,Dirac(x-2)-4*Dirac(x-3)));

f:=Dirac(x-2)-4*Dirac(x-3);
fF:=subs(Dirac=DiracF,f);
plot(fF);