Our perceptions differ,what you see as outdated the customer sees as something good,the consumer is always right

Do what the customer want, Go with the title that the "Customer is right"

Brainstorming with the customer and reason along but convince where necessary if not buy and work on the customer idea

You should decide whether you are ready to work with such a customer at all, if yes, then implement his wishes and move to the next project

I would arrange a meeting to discuss customer's wishes in detail and find the best possible solution