Well, iM_coco!
If I had any authority to grant you a medal for being a genius I would. I had used SyncMate to export my contacts to my ipad. However, it created a duplicate list for all 712 contacts. After your suggestion I deleted the list using SyncMate and forwarded it via iMessage. It worked like a charm. Good work!
For those that keep saying "use the cloud," I DO NOT WANT to! My product was purchased with this feature installed as part of the software. Therefore, do not remove it! It would be like taking your car to the dealer you have purchased it from for a service and when you pick it up, they have removed something from the vehicle that they think that you no longer need (like bluetooth, navigation, etc..) Corporate arrogrance!
Hopefully Apple does respond to complaints about restoring the functionality through iTunes. I have heard plenty of rumors but haven't heard anything from Apple. The suggestion provided by iM_coco is a simple fix and I don't care if it doesn't "sync" the contacts but copies them, the point is; your contacts can be put on your device without using the cloud.
In the meantime, send apple your complaints to https://ssl.apple.com/support/feedback/
Furthermore, try writing a review (on the App store about Mavericks) that states the option to sync contacts, etc...... have been removed from iTunes with the installation of Mavericks. Funny, that mine was never posted, looks like Apple definitely reads those!