Complex sentence: Its critics have described it--and its predecessor, the U.S. Taxpayers Party--as a theocratic and dominionist party, even though the party supports the constitutional ban on religious tests for holding public office.
Split into simpler sentences: Its critics have described it--and its predecessor, the U.S. Taxpayers Party--as a theocratic and dominionist party. The party does not, however, oppose the constitutional ban on religious tests for holding public office.