In terms of economics: The Torah does not believe in the Communist or Socialist version of equality. Yes, each person has to pay a “tax” to benefit the poor, but this ma’aser is percentage capped and applies to everyone equally regardless of economic status. Chazal were very sensitive to personal property rights and deal only within the framework of capitalism. There is no judicial movement in Chazal to equalize everyone’s wealth – on the contrary, as some have already mentioned, a financial dispute is based on merits of argument alone, and not on how wealthy or poor the defendant/plaintiff may be relative to each other. Chazal also push for a free market society, but they place limits on usury, bribery, extortion, and dishonest dealings.
In terms of gender equality: Both genders deserve equal respect, but they are strongly discouraged from trying to assume identical roles, in all areas of life (public, private, socially, politically, militarily, etc…).
In short, I think equality as defined by society today is contrary to Torah beliefs.