With the seven month timeframe, it sounds like she waited just long enough for California to have jurisdiction as the children's home state (six months under the UCCJEA) then filed there.

Normally she would not be able to file for spousal support, or for division of those portions of the marital estate which remain in Idaho, as California has no personal jurisdiction over you and no subject matter jurisdiction over property limited in another state. You can waive any objections to jurisdiction either by formally waiving them, or by appearing but failing to raise the issues in a timely manner (often meaning before or at the time of your first legal filing or appearance in court).

If the California court asserts or obtains jurisdiction over spousal support matters, it should apply Idaho law. But the guidelines can be mushy enough, and permit consideration of equitable principles, such that it may not matter much.

I would suggest retaining a lawyer in California to make sure that your interests are protected. You may wish to take a look at the AAML member directory.