Hope I can help you out as I lived through my 16th year and raise 3 teens: Does Dad work? Is he overworked? He may have worries he doesn't want you to know about and that could be coming out in disagreements. i.e. financial Can you catch Dad in a good mood and talk about something that isn't emotional? The weather, his favorite team, driver or hobby. When the talk goes well be sure to tell Dad that you appreciate having the talk with him in an adult manner. He'll appreciate it. He'll appreciate your compliment. Compliment for something, no matter how small. He'll notice, even if he doesn't say so. Try to find something good to say every day.
Are your emotions let loose when you talk? It sounds like you've argued so long that you're in an offensive position where you subconsciously send out vibes indicating you're ready to go at it. How's your tone? Try not to yell unless the house is on fire. Try not to whine - to me it was like fingernails on the chalkboard! Same with eye rolling, when I saw eyes roll I always wanted to say, I'm not as dumb as you think. (But it wouldn't have mattered because the kids would have thought, yes you are.) When dealing with your Dad operate on the assumption that you don't know it all and he probably does knows more than you. (He knows more by seniority if nothing else. He's simply been around longer than you and has picked up a thing or two.)
Let me know what you think.