Why cut each fin twice and then risk misalignment? Instead, make sheets of the balsa two-ply and then cut the fins. Since the "raw" sheets are longer than they are wide, you'll want to cut one into squares and turn all the squares' grains perpendicular to a whole sheet.
If you're using the best tool I don't own, a laser cutter, you'll have to turn the laser's power or duty cycle up or reduce the cutting rate (compared to what you'd use for the same thickness of plain balsa) because the glue is actually a little harder to cut through than the wood. (I learned this the hard way. Well, actually the slightly annoying way; it's not really a big deal to finish off with a knife.)
If you're using the best tool I don't own, a laser cutter, you'll have to turn the laser's power or duty cycle up or reduce the cutting rate (compared to what you'd use for the same thickness of plain balsa) because the glue is actually a little harder to cut through than the wood. (I learned this the hard way. Well, actually the slightly annoying way; it's not really a big deal to finish off with a knife.)