  It is shown that each non-compact locally compact second countable non-(T)
group $G$ possesses non-strongly ergodic weakly mixing IDPFT Poisson actions of
arbitrary Krieger's type. These actions are amenable if and only if $G$ is
amenable. If $G$ has the Haagerup property then (and only then) these actions
can be chosen of 0-type. If $G$ is amenable and unimodular then $G$ has weakly
mixing Bernoulli actions of any possible Krieger's type.
