FIRST OF ALL
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Yes, if they faced eachother again Kakashi would win. As someone already pointed out, Kakashi implied he would have taken out Kakazu before Naruto even arrived with Kamui.
Now, not only does Kakashi have almost full knowledge about Kakazu's abilities, he also knows Kamui is his only chance to kill Kakazu.
So...in other words KAMUI GG
Not only does Kakazu not have knowledge about it, Kakashi can also use a raiton bunshin just to be safe.