Would the difference in fretboard width cause any problems? A classical guitar fretboard is typically 52 mm wide, around 20% wider than a typical acoustic guitar or electric guitar fretboard's 43 mm wide fretboard.
Yeah, a classical guitar fretboard is a lot wider. It makes complex chord fingerings easier. I suppose a lot depends on how easily you can switch back and forth between a wide neck and the narrower electric guitar necks. Some people can; others find it hard to adjust.