I also have the same minidump issue. I'm also playing 1.82 but my game never loads. I can see the Star Wars requiem logo and then the minidump alert window pops up and the game just freezes. I also got exactly the same check sum as you. I enabled requiem rather than requiem resources. I don't know if we are supposed to enable both?
What is your mod checksum? Have you tried turning down your graphics settings to medium? Have you tried waiting a few seconds before clicking when the Requiem menu appears?
If all else fails, try running the developer .exe file and post what debug errors appear before crashing. Also, look in D:DocumentsMy GamesIronclad GamesSins of a Solar Empire RebellionDebug and post the last 10 lines of the log file.
I too was experiencing a mini-dump issue upon attempting to enable the mod. Enabling both the Requiem mod and THEN the Requiem Resource pack in the in-game mod manager panel before clicking 'apply changes' solved the issue.