Hoped indeed to split power with Republican and Democrat (6)
I believe the answer is:
prayed
'hoped indeed to split' is the definition.
I can't tell whether this definition defines the answer.
'power with republican and democrat' is the wordplay.
'power' becomes 'p'.
'with republican' becomes 'raye' (I can't justify this - if you can you should believe this answer much more).
'and' means one lot of letters go next to another.
'democrat' becomes 'd'.
'p'+'raye'+'d'='PRAYED'
Can you help me to learn more?
(Other definitions for prayed that I've seen before include "Appealed to a deity" , "Supplicated" , "Addressed a deity" , "Spoke to God" , "Addressed God" .)