THE PLT INDICATED THAT 10 MIN FROM HIS DESTINATION HE BECAME CONCERNED THAT THE FUEL GAUGES READ 'NEAR ZERO.' THE PLT ELECTED TO DIVERT TO ANOTHER APRT, WHICH WAS CLOSED. THE PLT MAINTAINED HIS ALT IN CASE OF POWER LOSS. THE PLT STATED, 'I ALSO BECAME GLUED TO THE GAS GAUGES AND THE ENGINE RPM.' THE PLT THEN INDICATED THAT HE REALIZED THAT HE WAS ABOUT 2,000 FT TOO HIGH ON FINAL APRCH. HE THEN REDUCED THE THROTTLE AND PLACED THE ACFT IN A SLIP. ACCORDING TO THE PLT THE RATE OF DESCENT AND A/S WERE HIGH AND HE DID NOT LOWER ANY FLAPS. THE ACFT TOUCHED DOWN MIDFIELD ON THE 6,192 FT LONG RWY WITH AN INDICATED A/S OF 126 MPH. THE PLT FURTHER INDICATED THAT HE WAS UNABLE TO GET A ROOM IN LAS VEGAS THE NIGHT PRIOR TO THE FLIGHT AND DID NOT GET ANY SLEEP. HE STATED IN HIS REPORT THAT FATIGUE DUE TO THE LACK OF SLEEP AFFECTED HIS JUDGEMENT AND PERFORMANCE. THE ACFT RAN OFF THE DEPARTURE END OF THE RWY AND COLLIDED WITH A DIRT BANK.