Courage. Both Naruto and Minato are extremely brave. Minato faced the Nine - Tailed Fox without fear, and Naruto has faced countless powerful foes with the same boldness.
They both have a strong sense of family, even if Naruto didn't know about his father for a long time. Once he found out, he felt a deep connection. Minato also cared deeply for his family and the village which was like an extended family to him. This sense of family drives their actions and decisions in protecting what they hold dear.
Their leadership qualities. Minato was a respected leader in the village, and Naruto grows into a great leader too. He inspires those around him, just as his father did. He leads by example and people are willing to follow him into battle or in any difficult situation.
She could be very wise. Since she is Kami, she would have a vast amount of knowledge about the ninja world, its history, and the nature of chakra. This wisdom would be passed on to Naruto, guiding him in his journey.
Well, Naruto is known for his determination and strong will. In this fanfiction, these traits might make him a very protective father. He would be determined to keep his child (presumably related to Ben 10 in some way) safe from any harm. He won't easily give up when facing difficulties in raising the child, like dealing with the child's unique powers or any threats from the outside world.
Since it's a fanfiction, his traits could be anything. He might be a powerful ninja with amazing jutsu skills.
His grandfather could be a very wise and patient man. He might have been the kind of person who was always calm in the face of danger, and Naruto could inherit some of these traits subconsciously.
Naruto as Tiger in ANBU would be more serious. The ANBU environment is a harsh one, and he'd need to be focused. However, his kind heart would still shine through. He might be more reserved in showing his emotions, but when it comes to protecting his comrades or the innocent, his passion would be evident. He'd also be highly adaptable. The ANBU missions can be very diverse, and he'd need to be able to adjust quickly to different situations, whether it's a stealth mission or a full - on battle situation.
Sakura could be a curious and kind - hearted character. She is always eager to learn new things, especially from her father. For example, she might be interested in the stories her father tells about his adventures when he was young. Her father Lemon, on the other hand, could be wise and patient. He takes the time to explain things to Sakura and encourages her to explore the world around her.
Naruto could pass on his determination. He's always been someone who doesn't give up easily, and Minato might inherit that. Also, his loyalty. Naruto is extremely loyal to his friends and the village, and Minato could grow up with those values. Maybe even Naruto's love for ramen would be passed on in some comical way.
Yes, in the fanfiction 'Naruto Father of Yasha', Naruto is depicted as the father. However, it's important to note that this is a work of fanfiction and not part of the official Naruto storyline.
Lemon might be very kind - just like Naruto. Since she grows up with Naruto as her brother, she could have learned from his example. For example, she might be the first to offer help to a villager in need.
In fanfiction, he would be a very innovative Hokage. Naruto has always thought outside the box. As the Fifth Hokage, he would bring in new training methods for the shinobi, new ways of handling village politics, and also new diplomatic strategies with other villages. He wouldn't be afraid to break the old norms if it meant progress for the Hidden Leaf.