I have no qualms with light calibers as that is what I use as well. It's just not neccisary to hunt a coyote. Never good advise to tell a fella he needs to spend x amount of money to be able to hunt them. Ranchers used 30-30s on them long before it became popular to hunt them. Folks buy into what they read, that they need the hottest new caliber, generally in a full bull barrel outfit. The truth of the matter is instead of what caliber or even gun the most important thing is to know what the object is.
The coyote generally comes in fast. Ranges are generally under 300 yards. He wants what ever is getting tore apart, but doesn't want to be tore apart himself. Although a predator he could turn into the prey quickly. So urgency in to get to the animal, but wariness in case something meaner than him has it. All the while checking by site sound and smell. If. You are calling then you are the target he's vexing in on. If using a caller then somewhere in your vicinity. If you use distractions to confirm he only sees prey and no other predator, you have the wind right and aren't blasting him out with to much sound then a long range caliber isn't needed. If you are needing to pick them off further than 100 yards or so then the teqhnique needs to be dialed in. Not trying to be argumentative guys. I see all kinds of posts touting the need for a certain caliber, a heavy barrel rifle, a suppressor and so on. I have hunted them for decades, used to write for Predator Master, now Predator Xtreme I think. Sure the magazines want to sell what the advertisers have, but all you need is something to bring them to you. Something to kill them with. And not get caught in the process by the coyote. The caliber, type of rifle, sound level of that rifle or any other aspect are just personal preference, not mandatory for success.