How to cut carbon handlebars
At the shop we generally use a "normal" hacksaw blade. I'd go with finer blade (more teeth per inch) if there's an option. Go slow and smooth (long low pressure strokes) and keep the blade perpendicular to the bars. The tape will probably help but do take care removing the tape or you might cause the fray you're trying to avoid.

There are special carbon cutting blades. We tried these and switched back to hacksaw.

Happy Riding!