Double check the scale length before drilling any bridge holes. If it's the same (24.75"), reference the 22nd fret for position, not the end of the board. If it's not the same, then ignore the Les Paul 1:1 totally.
I'd be tempted to fit the neck, hold the stop tailpiece down with a clamp at each end, fit strings (or at least the two Es), then slide the bridge into place with a small block of wood for height. Then position it so that everything lines up and intonates. Mark the mounting hole positions and then drill the mounting holes out.