Are the Russians right, that there is freedom beyond democracy

This assertion depends on very specific, and in practical terms unworkable, definitions of “democracy” and “republic”. In real life, we do speak of the US being a democracy, just as we speak of “bringing democracy to Iraq” or Israel being “the only democracy in the Middle East” and so forth. The nomenclature issues were well explained in the relevant Cecil’s Mailbag thread:

This doesn’t make a lot of sense, though. Almost all human activities require some kind of compromise between the freedom of different individuals to act as they desire. Designating certain kinds of activities as “intrinsic freedoms” is merely arbitrary.

Yes, all societies do have to make somewhat arbitrary decisions about what freedoms they choose to consider essential or inalienable or what have you, and what freedoms can be infringed or sacrificed or compromised, and to what extent. But these are deliberate choices. Freedoms (or rights) are consciously defined by human societies: they are not “intrinsic” or “natural” or “inherent”.

99.99% of the people in this country are never going to be in charge of a large corporation. For them, there’s no effective difference if the businesses they deal with on a daily basis are owned by a faceless corporate board or a faceless government bureaucracy - the only people who are really affected by the distinction are board members and bureaucrats. Bill Gates and Richard Parsons are no more subject to my control than George Bush and Nancy Pelosi are.