A political party that seeks to rule via force is not a party that represents liberty in any way.
Maybe for those who do believe it, they just have a very low standard for what they regard as individual liberty. Because when you look out at the atmosphere in the United States today and see how the individual is violated in thousands of ways by the government on a daily basis then you see quickly and clearly that if either party were truly representing liberty then they are currently doing a piss poor job of accomplishing the task.
If you claim to support and protect liberty then that means not supporting or engaging in perpetual wars, market manipulation and crony capitalism, corporate bailouts, the violation of constitutional rights with corrupt policies like civil asset forfeiture or no-knock raids.
You wouldn't support and submit to people fondling you at the airport as part of their security theater before you can get on a plane to travel for vacation or work. You wouldn't support policies that violate natural rights because you are scared of people who talk, look, or act different from you.
Supporting liberty means understanding that other people have a right to walk, talk, and look different from you, and they don't need to submit to your violence and live a life according to what choices you alone might find acceptable.
Both parties violate individual liberty, both parties are a threat to the smallest minority which is the individual, and both parties work together to continue to grow the cancer that is the state as we know it today. You could quite literally write a book on either of them and the great injustices that they've both contributed to, engaged in, and exerted against innocent people for decades. Pretending that one is any less of a threat than the other is child's play and diminishes the great threat that both pose directly to all individuals; living under a government that rules via force.
Political puppets of all colors keep wrangling up the people to go and vote to change the variation of collectivism, but nothing really changes because statism always wins.