It could go both ways, Danzo can use that eye of him to escape his speed, you know izanagi, Danzo would know of ftg so izanagi would be first thing he uses, as Minato doesn't have a clue of his abilities. Minato has a chance if Danzo doesn't have to unscrew that thing in his arm, he's screwed as we all know fighting Minato is a time thing, every second, millisecond count. If Minato sees the technique once and is able to escape it, there is a high chance that Minato would take this. Minato is too fast for danzo to react or have time to use his eyes even with Minato's base speed. But it's hard to say, Sasuke won because of plot no jutsu, and his sharingan did help him, but not having a special eye, it is more likely for Minato to lose. A battle of genjutsu is hard to escape even for the most skilled warrior.
Don't let fanboyism cloud your judgment as it will affect your ideas, I love Minato too but there are times to give it to whom deserves it, I'm not saying Danzo will beat him, but he can. This fight is hard to tell, in my opinion it could go both ways. Whoever has time to use their ability first could be a step ahead.