You can cut down your shifter, and re-weld it. I cut mine down by one inch so it doesn't look like a shifter on a Tata bus in New Delhi.
Is it a "short throw"? Well ... it does have shorter travel. Would I cut it down more? Probably not, but that's because I have short arms. You taller folk could get away with a two-inch cut.
Not much can be done underneath, I'm afraid.