Sadly the 5400 series processors don't work on the 2006 Mac Pros. Probably a firmware issue that Apple have no interest in fixing. Your best bet is searching eBay for Xeon 5355. You can get them for under $400 each sometimes.
It is probably due to different node density. the 5355 has 65 nm and the 5430 45 nm.
the pair of 5355 I can presently get NEW at 500€. sounds quite interesting for doubling the oumpf of the machine.
5150 (4M Cache, 2.66 GHz, 1333 MHz FSB) X5355 (8M Cache, 2.66 GHz, 1333 MHz FSB)
Lithography 65 nm 65 nm
Max TDP 65 W 120 W
1ku Price $690.00 $744.00
Number 5150 X5355
# of Cores 2 4
Clock Speed 2.66 GHz 2.66 GHz
Cache 4 MB L2 Cache 8 MB L2 Cache
System Bus 1333 MHz 1333 MHz
Instr. Set 64-bit 64-bit
Core Volt. 1.00V-1.50V 1.0-1.5V
Tcase 65°C 70°C
Size 37.5mm x 37.5mm 37.5mm x 37.5mm
Die Size 143 mm2 286 mm2
#Transist. 291 million 582 million
Sockets LGA771 LGA771, PLGA771
I wonder about the different Thermal Design Power going up from 65W to 120 with only 5 °C higher case temperature. Is that supposed to be done with the same passive heat sink that Apple uses, or do you have to go active heat sink?