Richard Feynman said "Science is the belief in the ignorance of experts", and Carl Sagan said the "Science is a way of thinking more than it is a body of knowledge". Both of these point to the reality that our current understanding of the universe is riddled with errors and omissions. We do our best with the data we have, and try to transcend our own prejudices and history.
How much or our current understanding is "just as wrong?": Well, like most things, it's on a continuum, and to some extent a matter of opinion. Was Newtonian mechanics "just as wrong" as Ptolemy, when considering Relativity? I wouldn't say so, but maybe you would. Ptolemy's conception explained almost nothing and glossed over contradicting facts. Newton put mathematics around observations available to him, but named the reality that he had no understanding of how action-at-a-distance happened. "I make no hypothesis".