I don't think that Disneyland will allow you to take a golf cart into the park, but if you only need to transport two people, I have taken one of these into the park at Disney California.
http://www.amazon.com/Royale-Dual-Electric-Mobility-Warranty/dp/B0085DF8FG/ref=pd_sim_sbs_hpc_1It will go 10 MPH and has 75 AH group 24 batteries, so will last for about 30 miles. It can carry two people at a time, you can order a huge basket for the back, but that makes taking off the seat a bit more difficult. Total weight is about 350 pounds, so it is difficult to carry on a rear mount rack, such as a cargo carrier, but I did that too. WIth the battery weight, the front of the Jeep was a bit light, so I had to remove the battery each time, not to difficult, but you have to remove the seat first. The batteries plug in wiht anderson connectors.
Fred.