I’ll defend the Tricaster to the death - we couldn’t do all the things we do without it. Rogan’s show is much simpler. I use an ATEM mini at home, but we’ve investigated ATEM and other hardware switchers for our studio and they just require too much additional gear to get the job done. Tricaster does it all, simply, and reliably.
However, we haven’t used the Tricaster in the audio chain for a long time. We use Telos Axia gear for all mics.
For Skype we use dedicated machines (we tried Skype TX, their broadcast solution, but it didn’t work with the Axia) one per guest. Each machine is routed into the Tricaster through a scan converter, or, more recently, through NDI. Audio is routed into the Axis system and from there into the Tricaster.
The wiki is a little out-of-date but there’s more info here: