Yes to special Relations between the Republic of Lebanon and the informal Republic of Hizbollah...

Although it is still an informal republic, a lot can be done with the republic of Hizbollah in regards to:
1- coordinating the foreign policy efforts of the two countries
2- military coordination and potential supply of weapons to the Lebanese army
3- economic support to Lebanon form the Hizbollah's budget that was annonced few days ago

Also, there should be an ambassador from Lebanon (or maybe a decision maker) in Hizbollah just like they have two cabinet ministers in the Lebanese government.

If they can manage to fix their borders, it would be a plus...