Honestly, I'm pretty crunchy – I don't mind co-sleeping, I'm a pretty gentle parent otherwise, I breastfed, I quite often baby'wear' (hate that phrase), did BLW... but sleep, ah sleep. Sleep is my one line in the sand.
I've been lucky to have a good sleeper anyway. But I can categorically say that if my daughter was waking me up hourly or every 15 minutes, I would lose my everloving mild, become a terrible human being and mother and probably crash my car and kill us both (well, not right now as we aren't After nights where she wakes frequently because she has a cold or just has a bad night's sleep, she is a hot mess during the day: grumpy, emotional, prone to crying. When she sleeps well, she wakes up happy and is cheerful all day.
I'm not sure I'd use extinction CIO (unless really desperate) but something like CC or gradual retreat or something, I definitely would. I take my hat off to people who are getting up every 15 mins to an hour with toddlers, but that life is not for me and it's not for her. If it works for you, great, but it sounds bloody awful for us both to me and we would both be zombies and would have no energy for all the nice stuff we do during the day.
People get so worked up about sleep training, but in reality, if something like CC is going to work at all it generally works quickly and three/four nights of some crying is going to make sod-all difference to your child's development (as studies back up –and the first person who posts that Romanian orphans study gets a cookie made of horse manure). But it might make a massive difference to your mental health and you and your child's happiness overall. Look past the three/four nights to the hundreds of days and nights to come and do what is best for you both. Crying isn't some awful thing to be avoided at all costs.