As long as you are doing something live, like playing your guitar, I don't think having backing tracks will be a problem at all. Will it get you more gigs? Who knows. It's highly unlikely it will give you less gigs though, and if you sound better, it may mean more gigs.
I am a guitar player and keyboardist. When I am playing guitar, some songs I will do just my guitar and vocal, but I am also a picker, not just an accompanist to myself. On those songs where I dig in and do a guitar solo I use either a sequence or a CD track for my accompaniment. Heck, think about karioke. That is someone standing with a mic and singing to a backing track. You got a heck of a lot more going for you than that by playing guitar and playing keys while you sing. Unless you are a dazzling guitarist playing for other guitarists, solo so-so guitar and solo so-so vocals are gonna get boring. Play the keyboard, use backing tracks, play solo, do it all. Spice and variety!