Has anyone dual modded an arcade stick?

Hi r/Fighters, long story short:
I own both a PS3 and XBOX360 and I own an MvC2 Tourney Edition Arcade Stick for the PS3 (I preffered fighting games for ps3).
Here it is!

Most of my friends have shifted to the 360, and I wish to keep playing fighting games with them. I do not know what else to do but dual mod my arcade stick. (Do not want to spend all the money on another arcade stick. I think it would be cheaper to dual mod).

Does Reddit have any good tips or guides about dual modding?
I'm open to suggestions on how I should try transferring from my ps3 to xbox360.

What does Reddit recommend I do?