Let's just go down the list shall we?
1. Women - do I even need to elaborate here? Lucas has a well-established almost oedipal hatred / desire of women, giving them zero agency, thinking that women rejecting him is just based on their brainless reliance on the opinions of boys, while simultaneously wanting a woman to work like a slave and mother him while he stays at home and binges.
2. Minorities - if we didn't have enough evidence of Lucas using the n-word, and his various excuses justifying it, we would have the fact that he loves to call white men "wiggers", which is obviously a negative comparison to the aspects of their personality that he views as similar to African Americans.
3. The Poor - this one is very uniquely Lucas: Lucas has an uncanny ability to feel vastly superior to other homeless people, while being a part of their ranks. As soon as he gets a roof over his head, he considers himself wholly better than all the homeless people that just a day ago he was staying at homeless shelters with. Lucas has many times said that if he sees someone on the street asking for food, money, or even a cigarette, he won't give these to people, because that's "too needy". He wants to play God, and give favors to people that he deems worthy, and has said more than once that "maybe if <homeless> people are good, he'll bring them some Taco Bell".
4. Homophobic - another one that barely needs explanation. If it wasn't for the fact that we know Lucas spent his young adult life being virulently homophobic, screaming in protest if a man brushed up against him, and once getting ushered off of a bus, because he thought a man that had brushed his shoulder was trying to initiate some sort of gay romantic activity with him, (per
@QueenBurritoSupreme ) we would have the fact that Lucas immediately goes to associations of homosexuality as his default insult towards men. He'll say he's not homophobic, and then tell someone that "they can head down to the gay bars" with a disgusted look on his face. If Lucas isn't homophobic, the word has no meaning.
5. Science - another easy one. Part of Lucas's ego is presenting himself as some sort of undiscovered scientific genius, who couches his stalking of young girls with the language of research and experimentation. Lucas will believe any pseudoscience or claim that supports the idea that women should be with him rather than other men. He's proven time and time again, that even hearing directly from the scientist whose work he's misquoting, telling him that he's misunderstood the research, he will insist that he's correct. Science is just a buttress for his lusts.
6. Traitor - this one is a little vague; do we mean a traitor to the country? Traitor to his family? A traitor to his supposed friends, like Isaac? Lucas will sell anyone out to his own advantage; he only has friends until they tell him something he doesn't like. Lucas would actively take up arms against the United States, if he thought that that road led to a harem of young girls, and unlimited Clinkerdagger.
As far as the title of the whole shirt, there's little doubt that Lucas would actually align himself with Republicans, if he didn't identify their ethos with all of the things that he's unable to do himself: be responsible, work like an adult, keep his lusts in check, and not expect money for freeloading. If Republicans delivered these things to lucas, he would be calling himself a tea party member the next day. Lucas is NOT an idealist, he just wants to identify himself with a group that allows him to gratify his urges.