This is likely a simple question

I loaded a GM or SMF into a song.  In the main sequence screen, below the name of the song, I transposed down 1 full step (-2).  This put the song into G major key

In this transposed state, I overdubbed several parts on a piano track, and of course when I played it back, the overdubbed notes were recorded I the original key.

Not a problem....using the “note” job function I simply transposed the parts I recorded up 1 full step. 

Question.  I’m missing something?  Can I change the key sig so that whatever key I transpose to, my overdubs will be in the new key signature, and not what it was previously....?

This has messed me up once before...I had imported a midi file and made changes, but I also had to retune my keyboard master setting down 1/2 step to accommodate a guitar player (imagine that!).  And the sequence again was off a half step. 

Thanks.