Hamilton's life-long devotion to the Union provoked a two centuries long attempt to blacken his name and reputation
Lets just say he was not John Adams favorite person.
That being said, we need to remember these were real people not plaster saints. And many of them had egos that would put John McCain too shame.
Adams mistaken kept Washington's cabinet which was completely under the sway of Hamilton and consulted him on every important issue. This was not known by Adams until the last year of his presidency and its discovery refueled the hatred and resentment he had for Hamilton for manuvering to make sure Washington was not tied with Adams in the Electoral College by suggesting some electors vote for someone other than Adams. Adams was so vain that he believed he was as worthy of the post as Washington.
His disdain for Hamilton was reciprocated as the latter believed the former to be "an old woman" incapable of making a firm decision and standing by it.
In that day egoism was called "honor" and every man defended his at the cost of his life on occasion.