We feed raw, and didn't notice so much of a "healing crisis" as a regular flushing of ick.
They had runny poops, god awful smells came from all four cats for about 2 weeks. We switched from kibble w/some canned daily, to JUST canned (this was the worst two weeks of my life on litter duty!), then from just canned to mixing in raw (this I didn't notice much of a detox or flushing of ick at all, I'm sure there was some, but nothing like the first switch). After a while, we were decreasing the amounts of canned and increasing the raw, until eventually, we just stopped canned.
We are lucky, in that we have a local lady who makes ground raw. We pay $2.10/lb (pricey, yes, but EASY!). We specify we want only chicken/rabbit (I don't feel cats would eat cows/pigs naturally, they get some ground beef here and there when we eat it, and beef livers). I know if I just bought a hand grinder and ground my own meat, I could save tons of money! We have a chihuahua and it costs us $5/mth to feed her. The cats are $15/mth each because of the fact that we don't make our own meat for them. They usually eat about 2-3oz each a day, and atleast once a month we add extra liver/hearts, as well as once a week we offer mice (although, only one cat will eat the mice with vigor, the rest eat babies if we put pumpkin on them LOL).
I really, really suggest you just jump in head first and do your own raw. I've heard this many many times, and it's a good thing to repeat.... Even though at first you may do it wrong (not enough this, too much that), it would take MONTHS AND MONTHS of this "mistake" to cause harm! It will only take you a few weeks to eek out what's wrong (poopies are very good at telling you what you need to change).
Goodluck! If you have any questions, please feel free to PM me for more indepth advice (I could talk about it all day!)