Is there a way to get the strobes to also trigger the speedlites
Don't know about godox, but for Canon speedlites the answer as far as I know is: "No".
But if you're shooting topside, why not just trigger all the flash units from the camera? Maybe I'm not understanding what you're after...
With your camera out of the housing the Canon (and compatible) flashes will "see" the IR transmitter in the camera's pop-up flash and work normally. Then DIY a way to hold the end of the strobes' optical cables near the pop-up flash (which is what happens when the camera is in the housing). Just be careful not to block the pop-up flash's IR transmitter.
Additional unnecessary detail:
Unlike your strobes, Canon 580 series speedlites are not (remotely) triggered by visible light. They trigger when they receive a coded infrared signal sent by a Canon compatible transmitter - from either a camera's pop-up flash (some models, like your 7D), another compatible speedlite, or a transmitter module. That's why the speedlites have that red plastic area - that's where the IR transmitter/receiver lives. The message encodes info like the channel number, the exposure level, etc. To trigger, it has to receive a properly encoded message, decode it, and confirm it's for the right channel number. Your strobes (all UW strobes) are not transmitting this IR signal.
Hope this helps, but as I said earlier, maybe I'm not answering what you're asking ...