Hmmm. Looks like a good idea. However, I'm 6'5" and don't feel I sit too high. There's at least 2" of head room and I keep the seat back pretty vertical.
However, I see your seat doesn't have the same controls/options as mine does. Mine are non-powered seats, but the seat can be raised, lowered and the angle changed.
Still, getting it an inch or two lower wouldn't hurt.

May have to see if I can come up with a similar modification. Thanks for the idea!