Well I'm someone who likes to argue, so if you don't want to argue with me I'd suggest just not responding. It would piss me off personally but eventually I would wander off to yell at someone on the internet or to grumble to myself while cleaning dishes.
Mostly I avoid them. With a personal relationship, family or friend I like to keep it as a conversation/ discussion but sometimes it can escalate to an argument, in that case, I just try to end it and if necessary walk away. If I feel responsible for the escalation, I will apologize. But there are some hot topics that I will just plain avoid.
It depends on the topic and how well the other side's argument is constructed. I hate arguing with stupid people. But with someone reasonably intelligent, making a reasonable argument, I often enjoy them.
P.S. I think I am one of those. People who like to argue. But I want to argue well, not make declaratory statements and dumb personal attacks (but I do have to admit that I have done them too....)
I listen to what they have to say, refute any misinformation they may have and find common ground with them on the parts that we do agree on. Lather, rinse, repeat until either they and I are on the same page, they exhaust themselves, or they walk away frustrated that they couldn't get the typical reaction that they expected, which is that they will browbeat someone into walking away so they can feel like they "won" the argument. It's really nice when you can turn an argument into a discussion and it makes dealing with them much more reasonable in the future because they know you won't just blow them off and disrespect their views by shutting down or trying to shut them down. In other words, sometimes they just need to be heard. What many take as argumentative is usually frustration from not being given the respect of being heard, as if their opinions are somehow less valid than everyone else's. Nothing like water to take the heat out of fire.
I work with someone who would never say they like to argue, but will say they play the "devil's advocate." That's code for "I will always take the other side because I love to dominate and win the conversation." I avoid this person, and if I do have to talk with them, I start by saying, "Just a quick question," or "Just a quick comment." I refuse to be drawn into a debate, an argument, or a one-sided conversation that takes up way too much of my time and attention.