Yes they did, in particular the false claim that there are no significant diffrences between blacks and whites.

Um, this is just plain wrong historically: "I will say then that I am not, nor ever have been, in favor of bringing about in any way the social and political equality of the white and black races, ... and I will say in addition to this that there is a physical difference between the white and black races which I believe will forever forbid the two races living together on terms of social and political equality. ... I will add to this that I have never seen, to my knowledge, a man, woman, or child who was in favor of producing a perfect equality, social and political, between [blacks] and white men." --Abraham Lincoln

Prohibition involved making false statements (they might not technichally have been lies only because some of the people making them believe them) about how much of the contry's crime was caused by alcohol.

It's not at all clear that this is the case. Alcohol consumption before Prohibition was quite high, and this was definitely a significant social problem. One could even make the case that Prohibition was in some sense successful; some studies estimate that alcohol consumption after repeal was as much as 20% lower compared to the pre-Prohibition level.