This is actually pretty easy. The biggest question you have to ask yourself is; "Do I want Cold water to come out of the hot tap?", or "Do I want no water to come of the the hot side and only water to come out of the cold tap?".
The idea is the tank plumbs to the pressure water pump. The pressure water pump should plumb to the cold water side. there should be a couple of T-connectors downstream of the pump. One for each cold water tap and one for the hotwater heater. So you have a couple of options here.
Cold water from both taps: Disconnect the cold water in line and the hot water out line from the hot water heater. Connect the cold water IN line to the hotwater OUT line, bypassing heater. This will treat the hot water taps like cold water taps. If you remove the hot water heater completely, the plumbing will be a bit ugly.
No Water From Hot Water Taps: Trace the cold water in line from the hot water heater back to the pressure water pump. You will find a T connector which feeds the hotwater heater. Remove the T connector and replace with an inline connector. Now the inline connector will go from the pressure pump to the cold water side without splitting the cold water for the hot water heater in any more. If you do this, I would get terminators for the hot water side. If the system is left open, mold will grow like crazy inside the lines. If you ever do decide to install a hot water heater, it will be a bit nasty.
Either way the entire process should be cheap and should be fairly quick to complete. I replumbed my entire pressure water system two seasons ago. I replaced the pex tubing as well as every connector in the boat.
BTW- If the RV store tries to sell you a bypass kit, it will most likely be incomplete. I bought one for winterization purposes and either it was missing a second shutoff switch or it was missing a check valve. It would be cheaper to do it yourself.
Take a look at these:
I bought mine at an RV center for a bit less than the marine supply stores are charging. I had the old compression style and as a result of the PO failing to winterize properly, many were beginning to fail. The guy at the RV store even looked skeptical, saying "I'm not sure if you can use these on a boat". When he handed me the parts, I held up the label and said "The manufacturer is SeaTech, inc......how many RV's do sell for use in the Sea? I wonder if these would work on an RV?" LOL (Parts guy blushed and said "I never noticed that before").