Running a LS1 with a LS2 ECM? LS1 OBDII vs LS2 OBDII

[Project_Gotham]

I want to use the Racepak IQ3 on my car but I have a LS1 and they only make a EFI module for the C6 OBD-II to run the racepak.

I'm not quite sure if the C6 OBDII interface socket is just a different shape than the LS1 and if the female end can be swapped to work with the LS2 type using the LS1 computer???? Or if it's just a totally different?

Can someone give me some insight on the differences on LS1 type OBDII vs. LS2 OBDII (2006-up)? And if it's even possible to run a LS1 with a LS2 ECM and OBDII. (I also like the size of the LS2 ECM rather than the LS1)

I apologize for my EFI ignorance. Thanks!