1. Wanted revenge on Hashirama
Nah.
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Unlike some people he knew that it wasn't hashirama's fault, he was mature enough to know that he had nothing to do with this.
2. Madara even stated that he hated that he couldn't protect his brother because he was too weak.
Again that had nothing to do with his ideology which was to obtain peace making his own world. It just means that he realized that he was weak enough to let his brother and thus too weak to rule the uchiha which is why he seeked his dream alone.
3.
He changed his mentality after wanting to establish a village with Hashirama,
then changed it to continue fighting the senjus, then changed it to attack the village and kill Hashirama, then changed it to wanting a world of peace(Infinite Tsukuyomi) So yeah he did switch it up a bit.
No. He knew hasirama's would't mentality wasn't accurate.
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And no he didn't want hashirama dead for izuna or his emotions, he just wanted to fight him knowing that he's the only obstaclvto his dream
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In result it was all because of his emotions. Itachi was the only one who didn't let his emotions disrupt his goals.
Emotions are the motivations of all dreams, now there's something called over emotional, madara wasn't the later. Tobiroma was the one that killed izuna yet madara never went after him, simply because, he knew it was the ninja world system's fault for having wars....he only fought hashirama to get fun plus to get rid of the last obstacle
PS: replying tomorrow