Are you sure it's not the opposite? That you don't agree with them because they don't align to your biases? Again, based on your comments here, your viewpoint seems to be far more than "slightly" right of center. By comparison, if I were a hardcore socialist, I would find objections with much of the center-left/center/center-right news sources too, because they did not agree with my viewpoint. That doesn't make them less reliable, nor does it make their facts any less factual.
It is completely possible to hold opinions that don't align with facts. That doesn't mean those facts are untrue. It also doesn't mean your opinions are less valid, only that they're just opinions. The more extreme your views get to one side or the other, the more you're going to find reality seems to be biased against you. So if you find that reality seems to be biased against you and that troubles you in any way... you may want to reevaluate how close to center your viewpoints actually are.