Okay, here's some examples:
Prophet Musa (as) in Surat al-A`raf 150:
{And when Moses returned to his people, angry and grieved, he said, "How wretched is that by which you have replaced me after [my departure]. Were you impatient over the matter of your Lord?" And he threw down the tablets and seized his brother by [the hair of] his head, pulling him toward him. [Aaron] said, "O son of my mother, indeed the people oppressed me and were about to kill me, so let not the enemies rejoice over me and do not place me among the wrongdoing people."}
Which infallible here is correct and which infallible is wrong? The one who lost his temper and beat up his brother without investigating the matter? Or the one who could not control the people and keep them on the path?
Or Surat al-Kahf 73:
{And how can you have patience for what you do not encompass in knowledge?" - [Moses] said, "You will find me, if Allah wills, patient, and I will not disobey you in [any] order." - He [Khidr] said, "Then if you follow me, do not ask me about anything until I make to you about it mention." - So they set out, until when they had embarked on the ship, al-Khidhr tore it open. [Moses] said, "Have you torn it open to drown its people? You have certainly done a grave thing." - [Al-Khidhr] said, "Did I not say that with me you would never be able to have patience?" - [Moses] said, "Do not blame me for what I forgot and do not cover me in my matter with difficulty."}
Why was he impatient although he promised to be patient, and why did he say he forgot?
Did Nuh (as) make a mistake by saying what he said in Hud 47:
{And Noah called to his Lord and said, "My Lord, indeed my son is of my family; and indeed, Your promise is true; and You are the most just of judges!" - He said, "O Noah, indeed he is not of your family; indeed, he is [one whose] work was other than righteous, so ask Me not for that about which you have no knowledge. Indeed, I advise you, lest you be among the ignorant." - [Noah] said, "My Lord, I seek refuge in You from asking that of which I have no knowledge. And unless You forgive me and have mercy upon me, I will be among the losers."}
Seems like a mistake to me.
Or Yunus who left his people after they annoyed him in Al-Anbiya' 97:
{And (mention) Dhu'n-Nun, when he went off in anger and deemed that We had no power over him, but he cried out in the darkness, saying: There is no God save Thee. Be Thou Glorified! Lo! I have been a wrong-doer.}
As for our Prophet (saw), then there are also verses such as:
{O Prophet, why do you prohibit what Allah has made lawful for you, seeking the approval of your wives? And Allah is Forgiving and Merciful.}
{May Allah pardon you, [O Muhammad]; why did you give them permission [to remain behind]? [You should not have] until it was evident to you who were truthful and you knew [who were] the liars.}
Explain these to me and if you're explanation is convincing we move to something else.