Donald Trump reminds me more of Silvio Berlusconi than Erdogan, personally.
Berlusconi was nowhere near Erdogan's style of strongman politics, but unfortunately, during his term, Berlusconi did stifle press freedom somewhat in Italy... primarily via questionable libel lawsuits against any critical outlet if I recall.
It's easy for me to see Donald Trump following a similar pattern, of attempting to sue any critical outlet into silence.