I don't think Republicans or Democrats are Pharisees. Pharisees were a political-religious movement/party in the 2nd Temple period. They had paricular doctrines, aims and beliefs in contrast to the other movements of the day - Sadducees, Essenes, Herodians, other apocalyptic sects, etc.. Pharasaic traditions were taught and carried mainly through two schools of thought - Hillel and Shammai. Orthodox Judaism probably most carries the teachings and tradition of the Pharisees. But it is true that Christianity shares some common beliefs and teachings with the Pharisees as well.
Unfortunately today, "Pharisee" has become a boogeyman term that really means "baddest of bad guys." But the New Testament gives a more nuanced view as does the historical record. Sometimes the Pharisees treat Jesus as an equal, having him over for dinner. They warn Jesus of danger. We're told to pay attention to what they say. And some of the earliest believers seem to have been Pharisees. Nicodemus was a Pharisee. So was Paul - Paul was a student of Hillel's grandson, Gamaliel who had a rather lenient attitude toward Christians (and is a saint in the Eastern Orthodox church!).
Matt 23:2 “The experts in the law and the Pharisees sit on Moses’ seat.
23:3 Therefore pay attention to what they tell you and do it. But do not do what they do, for they do not practice what they teach.
Lk 7:36 Now one of the Pharisees was requesting Him to dine with him, and He entered the Pharisee’s house and reclined
at the table.
Lk 11: 37 Now when He had spoken, a Pharisee *asked Him to have lunch with him; and He went in, and reclined at the table.
Lk 13:31 Just at that time some Pharisees approached, saying to Him, "Go away, leave here, for Herod wants to kill You."
Acts 15:5 But some of the sect of the Pharisees who had believed