Learn Spanish (Latin America): Su punto de vista es diferente.

Out of context, you don't! Su can mean his, her, your (formal), or their. The translation assumes "his" based on the wider conversation. If you needed to clarify without context, you could say el punto de vista de él es diferente.

Why do we use es instead of está with diferente?

We use es (from the verb ser) because being different is seen as a defining characteristic of his opinion, rather than a temporary state. You are describing what his point of view intrinsically is.

Is punto de vista the exact equivalent of "point of view"?

Yes! It translates word-for-word and is used exactly the same way in Spanish. You could also use perspectiva, but punto de vista is a highly common set phrase when debating or structuring arguments.

How would I connect this sentence to another using en cambio to show contrast?

This sentence is a perfect second half for a contrastive argument! You would state the first opinion, use en cambio, and then state this sentence. For example: Mi opinión es clara; en cambio, su punto de vista es diferente (My opinion is clear; on the other hand, his point of view is different).