This is utterly false. Firstly, Christianity does not say anything about all people being equal, it simply states that all are equal before God. Outside of religious matters, Christianity not only accepts but codifies social classes; There are numerous verses that encourage even slaves to be loyal to their masters and to accept their station in life, and it is stated repeatedly that Monarchy (or, depending on interpretation, dictatorships or other autocracies as well) are the correct form of leadership and that those in such positions are either outright chosen by God or are at least held to their responsibility by Him. That's literally the basis for the Divine Right of Kings that kept Europe at the forefront of the world until very recently. This is to say nothing of the very clear delineations between man and woman and their respective duties.

In fact, what you state is actually the opposite of reality. Democracy, universal equality and equity, etc. are Satanist, Enlightenment ideas that are spread and enforced by atheists, pagans, and satanists. The only even tentative links you could draw to Christianity from these ideals is by pointing to the Gnostics and Deists who often claim to be Christian or are said to be linked to Christianity but, in fact, much like Jews, there is no similarity whatsoever to Christianity in their beliefs, which line up theologically most congruently with Satanism in its more direct forms.

And since I know it will likely come up later, I'll take the time to pre-emptively shoot down the "Christianity is Judaism" argument or any variations thereof. The first and most obvious fact that should immediately shoot this down are the glaring and obvious diametric oppositions between judaism and Christianity: Christians are taught to maturely forgive our enemies (not to let them win, mind you, but simply not to hold unproductive grudges, especially over small things), whereas the Jew uses any and all slights, no matter how minor, to justify any and all hatred and atrocity ad infinitum. Jews literally believe that Christ is boiling in Hell for daring to contradict their masturbatory racial ego, if that doesn't tell you what the relationship between Christianity and Judaism is, then I don't know what will. Perhaps keep in mind that every Jew despises Christians and they publicly announce this regularly. Furthermore, I must reiterate that the modern Jew is racially completely separate from the Biblical Jews. While I wouldn't necessarily the Biblical Jews of the Old Testament where "White", they were certainly distinct from the genetic rejects we know and hate today. If I were to guess, I would say they were likely a distinct ethnic group similar to Copts or Armenians. This is all ignoring the fact that even if the modern jew and the Real Biblical Jews were one in the same, Old Testament Judaism and Christianity are still very, very different and very separate, and purposefully so, so the point is mostly moot anyway.

tl;dr: You have it basically completely inverted, and not only that, but your common assertion that Christianity and Judaism are in any way meaningfully related is wrong for a plethora of reasons.