I disagree with the implication that the Bible or even Jesus' teachings as told by the New Testament, are left wing or right wing. It doesn't map to modern politics at all because it's ancient, their politics were just different, and also it's not univocal, it's hundreds of authors who all had different politics and different willingness to import their politics into their religious text.

Because of that, you can easily read it to confirm your biases, no matter what they are. Apostles went out as married pairs to spread the Gospel in early Christianity, that's in the Bible, so women are equals and should be allowed to be priests? But also women should cover their heads and be silent in church, that's in the Bible too. So who should we listen to? There's no "right" answer except whichever confirms your biases.

Even if you are trying to read it historically, I'd argue the historical Jesus (from the Q source sayings and implications from what different authors added or subtracted from Mark) was remarkably egalitarian for the time but he was doing it from the perspective of an apocalyptic preacher, eg he said his followers should give up all their money to the poor, but it was because the world was going to end during the current generation... which was 2000 years ago. So does that even apply as a life lesson in the modern day if the world isn't ending?

So the religious right may well have read the Bible, and come to a different conclusion than you, and they're not necessarily wrong, and neither are you.