Justin,
You have an OMC single binnacle. These shifters are easy to operate, but it seems you are experiencing some stiffness, which causes you to go past N and into F. Work your shifter lever with the motor off, if there is any stiffness, give it some lube spray on the underside where the cable attaches, and see how she feels. Also, take the motor cowling off and lube up the shift/throttle cables with the same spray. The reason OMC, Merc, Yamaha, etc. invented single lever, dual function controls was to get away from the two lever controls like the Morse someone showed you. Ancient stuff! See how it works out.