Just because in infinite Tsuki no me, Sasuke and Sai are fighting over Ino, that doesn't mean she still wants to be with Sasuke or that she wants some type of 3sum with Sasuke and Sai. In her perfect world Sasuke never left the village and he never joined akatsuki. Hence, the Sasuke she dreams of is not the present Sasuke. Also, as mentioned her dream shows that she wants her dad to be alive and to be proud of her; she also wants to be popular and desired by all. Remember in part 1 how insecure Ino was about her looks?