I owned a 1980 Morgan 32 for about 7 years. This was actually hull number 1 of that model. During that period I lived aboard and did a lot of sailing on the San Francisco Bay, California coast and one round trip between SF and Hawaii.
It was a fairly strong boat that I would have no big concerns about making a crossing with in non-hurricane season. The two detractions with the shoal keel are upwind pointing ability and stiffness to the wind. You will find that you need to reef this boat a bit before deeper keel boats have to, and they will sail higher than you when close hauled. For any sailing off the wind these two issues go away of course. I do believe Morgan also made a 5' deep version, but I had the 4' version.
Before making the big crossing I did have a true storm jib
made. I only needed it on two occasions - but it was great to have. I also had a third reef put in the main. I also had a Sailomat windvane which did a fantastic job steering the boat. In fact, at the time of the sale I removed it from the Morgan and put it on our new boat (Ericson 39).
A few weeks ago we were sailing on the Bay and noticed our old boat and snapped the following pictures.
Feel free to ask me any specific questions.