Don't worry about skipping a rung - more often than not, title inflation happens when you move into the services world. It is a sales technique -- customers feel good when a VP is leading their product. There is an unbelievable number of VPs in some industries.

You would only need to worry if you were actually going to be doing VP-level work - building organizations instead of products. It sounds like you are not expected to be at that level. You just need to run a small existing org, not build out new ones. So just make sure you are able to do the actual job you are getting hired for, and enjoy the nice title.