LinkedIn's approach to its infrastructure focuses on a programmable data center architecture that relies on robust, scalable control protocols and efficient traffic distribution methods. The system prioritizes a unified architecture using a single SKU for hardware and software across all switches, while removing complexity through a direct management of the end-to-end stack. Key projects like 'Project Falco' and 'Open19' aim to enhance data center networks by decoupling hardware from software and promoting a simplified infrastructure for better control.