Isn't there suppose to be a way to sync the calendar with other apple id's. I would like to sync my wife and my calendar together but we have different apple iclouds.
Go to icloud.com on a computer and select the Calendar app. Beside each calendar in the left column there is a little circle with a wi-fi looking fan in it. Click this to share your calendar and send an invite. Do this for each calendar you want to share with your wife, and have her do the same for each calendar she wants to share.
When you receive the email tap and hold on the invite link. You should get an option to add/subscribe to the calendars. If either of you have more than one device you want to sync with you may have to do it on each device. Probably, but I'm not sure, so give the second devices a chance to sync before doing so.
Another way that will "probably" work. I've no way of testing it. I suspect only the basic Mail, Contacts, Calendars, and Notes stuff will be available to sync.
Go into Settings > Mail, Calendars, Contacts > Add Account and add your wife's iCloud account. You can turn off the services you don't want. This is probably the best way if you don't mind giving access to everything the other has.