No. The accusation of the inquiry being “behind closed doors” is nothing but a bogus attack on the process of the inquiry, because the T rumpists have nothing valid to say about T rump’s innocence. The special hearing that the T rump Republicans barged into, en mass (and illegally, by the way, with bringing their cell phones in atop secret environment) was just the regular process. AND it is a process that was established and voted on when the Repubs were in power. The barging in on that meeting was a STUNT designed to do something for a guilty POTUS, when there is not much really they can do. Initial closed door sessions is part of the due process. The Repubs had closed door mtgs during their unending investigations into Benghazi, and other investigations. AND that was WITHOUT announcing and Impeachment inquiry. In the hearing that the T rump congressmen barged in, many of those were already allowed to attend the closed door session. And the closed door hearings have as many Repubs as Dems anyway.
This phase is similar to the grand jury part of the criminal justice system. The potentially accused person is not allowed to barge in and try to undermine the grand jury process. But Dems are notorious wooses, so soon they will vote to formally establish the Impeachment Inquiry process (because the T rumpists complain about it), although there is absolutely no Constitutional requirement that this be done, to officially start the inquiry process. Also, the Dems will probably start open hearings very soon, because of all the howling by T rumpists. But ironically, they will probably not like it when it happens, because what the people who are testifying are saying, is making T rump look guiltier and guiltier.
Anyway, this part of the due process, will lead to the actual charges (in the case of Impeachment, this is called articles of impeachment) being sent to the Senate. That is where the trial occurs. That is where he gets all of the due process protections (probably much more so, since he is POTUS) as any accused person.
And seriously William, this is not about socialism and communism threatening our democracy. That is, I daresay, a weak outdated paranoid jingoistic meme. Our democracy is threatened right now by a POTUS who seems to have a relentless aspiration to become our DOTUS (Dictator of the United States).