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It is difficult to tell by looking at online sources. I suspect that with the issues there, the information that is online may be out of date. The best suggestion I can make is to contact your closest Libyan embassy or consulate directly.
There is a good chance you will have to get a separate visa for your wife, and this may take some time.
It is worth noting that the British Foreign and Commonwealth office has advised against all but the most essential travel to the areas in and around Tarabulus (Tripoli), while it advises against travel to Benghazi and much of the rest of the country.
The safety situation might be worth considering when you decide whether or not you want to pursue this. Have a look at our Moving to Libya page for a bit of context and links to pages about other issues that face people moving to the country.
Best of luck,
Xavier
The governments of the UK, Canada, USA and India have all advised against all travel to Libya given intense fighting and kidnappings in southwest Tripoli and Benghazi. Tripoli Airport, for example, has been closed for some time.
I think it may be in your best interests to delay, and keep an eye on the situation until it becomes more stable. It is, however, your choice.
Best of luck,
Xavier