Could be, then again maybe not. The ark's wood might not have been usable for later building. Remember Genesis tells us that it was coated both inside and outside with Pitch. (Gen. 6:14).
pitch 1 (pch)- n. - 1. Any of various thick, dark, sticky substances obtained from the distillation residue of coal tar, wood tar, or petroleum and used for waterproofing, roofing, caulking, and paving.
Ever seen something that's been coated with that stuff? There weren't any recycling plants around to get the pitch off and make it usable, so I'm not convinced there is much they could have done with it. Plus even without the pitch in consideration, the wood would have been water soaked as well and may not even have been good to use as firewood. So I think the jury is still out on that one.
To actually be able to see and touch the wood that very likely could be from the Ark is a giant leap ahead in supporting the fact that the story of Noah did actually happen. And why would that discovery be so important? Because of all the stories in the Bible that non-Christians and week Christians doubt the most, Noah's Ark is near the top of the list. Find evidence that there was a giant boat in the mountains of Ararat matching the size described in the Bible, and its will be a major wake-up call for millions, who will have to look at the Bible as more than just a collection of ancient folk tales - but a true recording of events that actually happened.
But still you will have doubters. They could find the ships log itself, with a feeding schedule for the animals, and fossilized piles of zoo doo and you will not shake awake those asleep.