Well, I think the general meaning is way more simple. The Utopia we're listening about is "the perfect romance"; the perfect romance that they would like to live now, and also the Perfect Romance that everyone could in theory live ("in search of the cure of mankind"). They're together, but they don't really seem to understand each other. So, Sharon hopes to find "the door to open your mind", that is a way to make her lover understand her perfectly; to carry out the dream in colour she's dreaming. But it necessarely rains on utopia (in their romance they have to face problems). I think that "the ideal of who we are" is referred to them both together, as a couple, and not to each of them singly.
The "lights" supposed to "die down" are just a way to express the end of any argument and misunderstanding, which still seems far far away.
Well, I think the general meaning is way more simple. The Utopia we're listening about is "the perfect romance"; the perfect romance that they would like to live now, and also the Perfect Romance that everyone could in theory live ("in search of the cure of mankind"). They're together, but they don't really seem to understand each other. So, Sharon hopes to find "the door to open your mind", that is a way to make her lover understand her perfectly; to carry out the dream in colour she's dreaming. But it necessarely rains on utopia (in their romance they have to face problems). I think that "the ideal of who we are" is referred to them both together, as a couple, and not to each of them singly. The "lights" supposed to "die down" are just a way to express the end of any argument and misunderstanding, which still seems far far away.