Replacing a duplex switch with a dimmer and the duplex switch has a 3 way and is fed from a different circuit

This switch is a duplex 3 way switch controlling my dining room fixture (not 3 way) and also my porch light (3 way) each fed from a different circuit. I would like a dimmer on my dining room light fixture. I bought a duplex dimmer with 3 way capability on each switch, but it only has one feed.

The question is can I use this and connect both feeds to the one on the duplex dimmer? Or do I return this and look for a duplex dimmer that accommodates 2 feeds?