I don't remember seeing any kabuki venues in Izumo Taisha. I'd think Noh would be more likely. Kabuki is more common in Tokyo, Kyoto and other large cities.

The shrines are indeed quite spectacular although that raised one with the ramp is not in the main center. It is down on the beach. In the main complex, they were in the process of rebuilding one of the major buildings the last time I was there, side-by-side with the older one that was in use at the time. When this is happening, they have two shrines - one in use and one under construction. When the construction is complete the older one will be abandoned and removed with services being moved to the new one. I have no idea where they will be in the process when you are there but it is something you should look for.

Large shrines all over the country are often located on top of hills or mountains so long stairways up to the main building are common. In most cases though, they are mountain trails and stairways rather than constructed ramps.

Izumo is known for soba. During the walk up to the shrine area from the train station, I recommend looking for a specialty soba restaurant for lunch, either on the way up or when coming back down from the shrines. Some of the best places are over 100 years old.