A failed inner pane of the Captain's windshield in the middle of the Ocean forced the flight crew to divert to the nearest suitable airport when fuel available precluded low altitude flight to more appropriate facilities.

Narrative

At FL360; after passing 30 minutes of light/moderate turbulence; noticed three semi circular cracks in Captain's #1 window on inside pane. Quick Ref manual consulted for cracked window. Book said to descend below 2 PSI pressure and divert to NEAREST SUITABLE AIRPORT. Dispatch; Maintenance Control; Duty Pilot and two flying First Officers were consulted. The focus was on NEAREST part of the nearest suitable airport. Using immediate available data; it was determined that we didn't have enough fuel to return to our departure airport at 10;000 with the remaining fuel on board. ZZZ was nearest but didn't have much in the way of SUITABLE. Billions of birds; little fire fighting capability; no passenger facilities; no maintenance.The window cracking was continuing and starting to chip at crack intersections. Failure appeared imminent. I made decision to divert to ZZZ. During landing at ZZZ; 2 bird strikes occurred. 1 bird caused damage to wing flap; 3 inch by 15 inch hole in flap. Rescue plane had to be flown in to pick up passengers and send in mechanics.I think Dispatch needs to take a long look at the term: NEAREST SUITABLE AIRPORT again. The window was failing and we will never know if carrying more fuel to allow a low altitude flight all the way back to our arrival would have been better. In the interest of safety for all concerned; I chose the MOST conservative course of action.