First of all, yes I am aware that there's this mod which sounds the same, but Groceries uses the Crosskill run animation not the Akimbo ones
Disclaimer: I am not stealing this from him, this is a simple mod of copy and paste.

This mod will change your Pistol(and the Mac-11) running animation to the one similar to the PDTH Version-ish, without changing character's bone or something to use the old animation, I just use the akimbo ones...

Thank you Gr4mas about the Peacemaker bug(I though I fixed this bug years ago, I re-downloaded the mod and it still happens, should be fixed now. Edit: just fixed it again)