I’ve no idea if that is usual for car auto-renewals, as I don’t drive, but my buildings and contents insurance both auto renew (through choice) and although I pay by direct debit, so it’s slightly different, both send me an advice about a month or so before renewal date with the new prices in and I did avail myself of the opportunity to look elsewhere with one of them and did subsequently move.
They usually contain a comment that if you don’t want to go ahead, you have to give x amount of notice, which I did.
You might need to check their terms for auto renewal, but taking the monies 2 months in advance without notice is not something I would personally find acceptable. I would hope that it’s an error on their part. I’m sure there must be regulations on taking payment without advance notice.