A small observation from R' Chatzkel Levenstein (Ohr Emunah):
Rashi quotes the Midrash that in response to Pharoah's decree to kill all the male children, Amram went ahead and divorced his wife. When Klal Yisrael saw what Amram had done, they followed suit and separated from their wives as well.
If you pause to think about this for a moment, it's incredible. You can have gedolim galore who tell us that smartphones are evil, and what's the typical reaction (I'm speaking about myself)? -- they are fanatics, they are out of touch with reality, they don't know what life is all about. This is in response to giving up something small like a phone! Imagine if the gedolim were to tell everyone to give up living with their wives -- can you imagine the outcry? (Sadly, some people may actually be happy, but that's a different story : )
R' Chatzkel goes a step further and points out that Amram did *not* in fact order anyone to stop living with their wife. Amram simply separated from his own wife. Klal Yisrael so believed in and trusted in Amram that they immediately followed suit without having to be told anything. The people emulated his behavior without having to be given explicit instructions. If Amram did it, it meant it was the right thing to do.
Amram in the end took the advice of Miriam and reversed his position, and here again, Klal Yisrael followed suit. One could easily imagine the potential accusations of Amram flip-flopping, of his being unsuited to lead because he was so inconsistent, etc. But that's not what happened.
Despite, according to some views, Klal Yisrael falling to tremendously low levels in Mitzrayim, the people still retained their basic emunah -- including their emunas chachamim.