I have a 2005 dodge status 2.7l and my whole passenger side floorboard stays soaking wet and on top of that the radiator runs hot unless I have the AC ON ...my temp gauge never passes the half mark

You need to find the conduits for rain - one of them has a leak in it probably from corrosion. Try to locate just where the water is getting in and see if you can use a sealer to stop the water from getting in.

I would remove the glove box and anything else in the way and look for the source when hosing down the car.

Which means your heater core is leaking,it's bad,the A.C.drain is on the passenger side,will drip on the right side under firewall.

Check the heater core it has a leak in it. Is the radiator losing antifreeze or a small amount at a time. Then it would be the heater core if no other leaks are showing.

no it will most likely be a blocked drain pipe that goes into the engine bay from the A/C and drains the condensation created by your car's air conditioner. A mechanic workshop can do a blast of compressed air by your mechanic and free the blockage takes about 30 seconds to do with a car hoist.
If it is humid conditions the problem will be much more and you might find the front demister won't work due to water sitting on top of the Air conditioner. It will heat this water and blow steam on your window.

Suspect leaking AC condensate drain line, unless it smells like anti-freeze, in which case its the heater core.

The rear ac evaporator box is not draining very well,and it is blowing the condensation up threw the vents,most likely.The drain should be under the rear passengers side wheel well.

is it only when the ac is on? there is a pan under the ac unit that has a hole in it to allow the condensation to empty. if that hole gets plugged it could cause the condensation to build up and back into the inside of that car. i unplugged mine and floor stayed dry

look at the firewall on the engine side and you will see a small stub hose coming out on passenger side about even with the bottom of the heater box inside. that hose drains condensation from the ac...clear it out and you will have a dry floor. (unless heater core is leaking but you didn't mention any overheat or coolant loss so likely that's not a problem)

your heater core (a small radiator) in the heaterbox is leaking

Auto ac units have an outside drain for the condensation. If you ever noticed a car running and it looks like it's leaking something on a hot day it's the condensed water from the ac unit draining. What you have is a clogged or disconnected drain hose.
You need to find the hose and drain and reconnect them. Sounds simple, good luck.