I own several FLIRCs. You can map a remote control button to a keyboard sequence. So, if you can control MC with a keyboard, and do everything you want, then you can program a FLIRC to have a remote control do the same thing.
I tried this with MC some time ago and was somewhat successful. The difficulty for me was in using the operating system to launch MC, set the screen to display on, and that kind of thing. For that I really needed a mouse and keyboard.
You should try running MC with just a keyboard. If you can do that to your satisfaction, then you can do the same thing with a FLIRC and a remote control.
BTW, I also use a URC remote: The MX-450 . But not with MC.
Brian.