I think before we can give any advice, or make suggestions, that you need to do a little investigation of the situation.
You say that the cold water taps run hot, but then cools off after a minute or two. This suggests to me that you have a leak somewhere, or that the cool water that enters your hot water system as you draw off hot water is expanding as it heats up and is able to travel back towards the the pump and your cold water storage tank. So lift the cushions above where your fresh water pump is located, and after your engine has been running for a while but before you draw off any water, feel the pipes and determine how far towards the cold water storage tank the hot water in your cold pipes has travelled. Determine whether the hot water has reached your pressure tank, or has it gone further towards the pump, or possibly on beyond the pump almost to your cold water storage tank, and then let us know. While you are checking things in that area, look for any water leaks and advise us if water is present in areas that should normally be dry.