It will feel different because the tire diameter is different, but that's a good place to start.
I suggest you do this. Ride the route on your MTB and find the gear that works the best. Then use this calculator to calculate the gear inches of that set up (including tire size). Then you can use the calculator to determine what chain ring and cog you'll need on the new bike to achieve the same gear inches (feeling).
Sheldon Brown's Bicycle Gear Calculator