Yes, he does. And he just may get one.
Let's give him some models he might want to use for it. Here's Berlin 1933:
And here's North Korea in 2017
Russia in 2016
Turkey in 2014
My thoughts on this?
First, Trump has a mental age of about five years. He wants what he wants and it doesn't really matter if what he wants is good for the country.
Second, there is no particular reason for a military parade. No special anniversary of the country, for instance. This parade is just for Donald Trump, I guess. And that smells of a dictatorship, even of totalitarianism.
Third, it might be difficult to criticize the parade without that being used (in the fake news bubble) as a criticism of the US military, whether it is intended for that, too, or not. This could be part of Trump's plan (and part of the greater plan to truly tear the country apart).
And fourth, boasting about its military might is below par for a country with the largest, most humongous military budget on the globe. It comes across as menacing, threatening and bullying. It certainly doesn't signal great self-confidence in the fundamental values of the United States.