Sensing danger...it's not a real power, its simply something shinobi have, for example Itachi knowing when Sasuke came in part 1, Kakashi knowing Itachi and Kisame were around, stuff like that. He can't sense danger otherwise Kakashi wouldn't have been cut at all by that Iwa nin and Obito wouldn't have died.
And Itachi can activate the Mangekyo without eye closing. He did it against Sasuke.
However Minato still wins, why? Even Kakashi knew what Tsukuyomi is and that only Sharingan can combat it so Minato who doesn't have Sharingan simply won't make eye contact, Guy had the sense not to make eye contact and he and Naruto have the same intelligence. Onoki isn't even from Konoha and he knew not to make eye contact with a Sharingan user, Minato has Itachi's intelligence as he was able to anticipate A's next move which was going after all his Kunai, he was able to maintain presence of mind long enough to mark Bee's tentacle, he even predicted the entire course of ninja world and planned to use Naruto against Tobi, he analysed every single detail about Chidori and Tobi's time space ninjutsu after just seeing it once, much like Itachi's analysis of Chibaku Tensei, he was any to correctly deduce that Tobi was using Pain so he's very much smarter than Guy. Minato is very much able to fight without making eye contact. He doesn't fight regular anyway, he mostly throws kunai then kill you, as for the finger genjutsu, it seemed to require prep as Itachi formed a seal for it first before pointing at Naruto and you need to look at the finger to get caught as Naruto did which is probably why when 30% Itachi fought Kakashi, he opted to use an eye contact genjutsu as it didn't require that much prep and Edo Itachi used an eye contact genjutsu against Bee also I don't think Itachi will be able to point at his continuously teleporting opponent, his concern would be more like, those kunai shouldn't get anywhere near me. Tsukuyomi and all other eye contact genjutsu are short ranged as stated in Databook and proven in the manga and Minato can throw kunai and teleport way beyond 5 metres.
He doesn't need to look at Itachi's eyes to dodge Amaterasu as the flames will come at his face as Raikage did but with a speed slower than Raikage, Minato's reflexes will allow him teleport. Susanoo attacks will be Space Time barrier'd away back at Itachi or simply dodged by FTG, Minato will mark Susanoo and teleport inside it Itachi preferably behind Itachi to avoid genjutsu then Rasengan!