My son was potty-trained (truly potty-trained) by age two, but it took us six long months to get there, plus six previous months of prepping him for using the potty and getting him comfortable with going there. Yes, a year. Yes, he started sitting on the potty by 12 months of age.
For us it just made sense. He was learning about his fingers & toes, how to walk, how to eat ... why not potty?
How aware of pottying is your little guy? Does he hide and/or make a face when he has a bowel movement? Does he know what the potty is for?
If you really, REALLY want to be done in two months (which may or may not be possible at that age for your little one), I suggest a LOT of naked time for him. You will be cleaning up a LOT of messes, but that worked for us. I could see the very instant he started to have an accident and say, "Oh! You're going pee-pee. Let's do that on the potty." Very matter of factly, not shaming him, but correcting him. If there was a potty nearby (we kept several of the Baby Bjorn Little Potties at home) I'd pop it under him. If not, we'd go get a cloth and clean it up together. By 18 months he would pee any time I set him on the potty, and would go get a towel and try to clean up any accidents he made all on his own (to the best of his ability -- and not always a good thing, LOL).
The last six months was just him developing the ability to tell me he needed to go. Sure, if I got him to the potty every 45 minutes he'd stay dry in his undies, but I think it was ME who was trained at that point. Right around his second birthday, he finally started to say "pee-pee" when he needed to go, and we'd rush over to the potty and cheer when he went.
Also, you probably won't get good results asking a two year old, "Do you have to go potty?" The answer will virtually always be NO. Whatever they're doing is way more fun, and they have trouble predicting the future at that age. Just say, "Hey, time to go potty, we'll come right back!"
Good luck! Pottying early made a lot of sense for us. I couldn't imagine having a 3-y-old in diapers, or 2 kids in diapers. And pottying early truly worked for us. He was fully trained with virtually zero accidents by two. He is the one of the only children in his preschool (where he started attending at age 3) who has no need for the spare clothes in his cubby.
You'll just have to decide if pottying is worth the trouble, or if it will be easier to have two in diapers. It's different for every family.