1996 Dodge Intrepid overheating and overflow

I'm a little confused.

"the water pump and now the bottom (with the alternator on it) wobbles a good bit"

Do you mean the pulley wobbles? Which one?

How hot is the air from the heater? If it is cool, feel the two heater hoses. On some engines, coolant must flow through the heater core to open the thermostat.

A better test for a leaking head gasket is the "sniffer" test. Coolant is much more likely to show up in the exhaust than in the oil, and it's common for combustion gases to end up in the cooling system. White smoke from the exhaust is the giveaway for coolant entering the cylinder.

The sniffer test involves drawing air from the radiator or overflow reservoir through a tube with a special dark blue liquid. Combustion gases will cause the liquid to turn bright yellow. That would be your best proof of a leaking head gasket.

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