Let's see.

98% tax on the salaries of actors, musicians, professional athletes, etc. Think of the good that tax money can do.
Pro gun ownership.
Pro death penalty; extend it to serial rapists, serial child molesters, and the like.
We should use criminals in prisons for hard physical labor. Maybe put some of them in the Army, if they're able.
Illegalize school sports, including college sports; divert all funds to EDUCATION.
Eliminate the welfare system, or vastly limit its scope (like 2 years per lifetime per person, or something).
Huge penalties for people who have more than 2 children. Tax penalties for example.
Illegalize the use of religious words on money, the Pledge, etc. Turn the "line" that separates church and state into a 20-foot steel wall guarded by cyborgs (figuratively speaking).
Abortion: No opinion, which probably equates to pro-choice.
A national minimum age limit for getting a driver's license: 21 years old.
Anti corporate bribery. That'd be a hard one to enforce.

As far as the name, no idea. Republicratipendents.