The first example (in order to) seems more formal in the way the idea is expressed. On the other hand, the second example (in order that) has an insistence on the word "we", and makes it feel as the author has an emotional attachment to the subject. They both mean the same thing, but the emotion they translate to the reader, the first one having little, the second one having an inclusive subject, is the nuance.
"In order to" feels a lot more general in its approach. "In order that" insists on the subject that follows.