This should be fun. In doing some quick research, it seems that no matter what your lawfulname is, you get to designate what you want put on the ballot (in this case the write in list).
If the above is true, then everyone should have registered as Lisa Murkowski
OR AS MANY SPELLINGS OF SUCH AS POSSIBLE. ANY MISPELLINGS WOULD BE HARDER TO AWARD TO THE RINO LISA IF THERE ARE OTHERS WITH SIMILAR NAMES.