To be clear, there is not smoke coming out of the exhaust? that means the oil isn't being burned, so I would start by looking for a misfire.
are there any other symptoms like loss of power or rough running at any time? What kind of PCV system do you have?
when you say oil is dripping from the exhaust manifold on #2, you mean at the exhaust manifold gasket between head and manifold? yet the plug is not fouled? is there an audible exhaust leak when it's running, from this port?
I would check to see if the exhaust manifold is hot right at the #2 exhaust port. use one of those laser thermometers and check the temp of every exhaust port as its running. There has to be a misfire somewhere if the oil isn't being burned.
Oil can only get into your exhaust from past the rings, past the valve stem seals, a faulty head gasket, through the intake manifold via PCV or other issue, or a crack in a cylinder head.
Also, is the exhaust heat riser valve working properly on the manifold?
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