Engaging in conflict with someone over their views is purely an exercise trying to control them. Which you’ll never do from arguing with them. You’ll just start a fight.
The struggle you feel is because you want to control their opinion, even more than you actually want them to agree with you. Because if they’re going to agree with you, they’re going to agree with you by making up their own mind to do it. You can’t coerce them.
So, why are you trying to control their opinion? Are you worried that your own opinion isn’t as solid as you hope, if it’s only held by yourself?