Most of the models of that era had Jensen radios -- they were terrible. If you are an electronics expert, removing it and installing a new one will be very easy for you!
Most of the connections on our radio were plug and play -- not soldered, no wire nuts.
The Jensens tended to be very large and very power hungry. In some trailers, there are antenna boosters, which don't work well but which do consume power if accidentally left on.
When you get a new radio, try to find something with good RFI filtering -- the converter often emits a lot of noise. We found that a little CC Crane Skywave was sufficient for our needs, but that would not be good enough for a real audiophile.
Also, look for something with good NOAA shortwave coverage -- it is really handy to be able to monitor the weather while camping.
When you remove the radio, you may discover that there is a lot of wasted storage behind the radio -- you can reconfigure the shelving and gain a lot of space.