If this were truly a free society there would not be any political parties just individuals.

Individuals with goals to help the country.

Individuals who ran for congress, individuals who ran the senate, individuals who ran for states positions.

When it came to electing a president individuals would run against each other not parties.

The same rules would be in place like collecting signatures, and allowing the citizens to decide. Just there would be more people that were based on principle and not party loyalty.