I'm on a 2018 i9 MBP, and I'm not able to upgrade from High Sierra to Mojave either. Part of the installation is executing while I'm still logged into my admin account, and everything seems fine at first, but after logout, the MBP will restart after a while, then sit idle for a short period of time, and then the normal boot process starts, and High Sierra is back, working as before.
When I tried this the first time, there were actually two reboots, so I assume that the installer tried to do something else at first. Can't say. I tried a couple of times, with and without WiFi, with Little Snitch and XFENCE enabled & disabled etc. Always the same result: no installation.
I will wait for the 10.14.1 update, then I will try to upgrade again, and if that doesn't work, I will boot into single-user/recovery (CMD-SR) and run `nvram -c` and `pmset -a restoredefaults`, and then try upgrading again. If that doesn't work, I will contact Apple Support.
Since this was mentioned before: yes, I have had T2 bridgeOS panics on my MBP too, those after wake-from-sleep, but I had no problem fixing that myself. In my case it was a combination of FileVault and power management settings: I have set macOS to destroy the FileVault keys when going into safe sleep (hibernation), which you should do, because otherwise there's no use in enabling FileVault in the first place. Now `pmset -g` still showed some scenarios in which the MBP would wake, namely womp, powernap, networkoversleep, acwake, tcpkeepalive etc., so I assume that for some reason (e.g. power nap, network activity) macOS wanted to wake the MBP from hibernation, but the FileVault keys were destroyed, and since I had disabled normal sleep completely, the machine was then sitting around with the lid closed waiting for FileVault password input, which at some point resulted in bridgeOS panics and instant hard reboots after opening the lid.
I have now disabled all of the stuff that could lead to wake-from-hibernation, and I've also enabled normal sleep again, just in case the MBP still wakes for some other unforseen reason. I haven't had bridgeOS panics for weeks.
Please note that this only covers the wake-from-sleep bridgeOS panics, not the crashes during normal operation. (I haven't had those.) So I don't think that there's a hardware error with the T2, I only think that Apple don't really know what to do with this chip, how to correctly program it, so it will function without hiccups.
Does the Mojave installation catastrophe have anything to do with the T2? Maybe the T2 is a factor, but I can't say.