Heh. That felt wrong to me as well, until I started peeving about it on this very site, and promptly got called to order by nohat, and rightfully so.
Anyhow, see Wikipedia:
While any more is typically a negative/interrogative polarity item used in negative, interrogative, or hypothetical contexts, speakers of some dialects of English use it in positive or affirmative contexts, with a meaning similar to nowadays or from now on.
Positive anymore occurs in North American English, especially in the Midlands variety spoken in parts of Pennsylvania, Ohio, Indiana, Illinois, Kansas, and Missouri; its usage extends to Utah and some other western US states. [It] also occurs in parts of Ireland and Northern Ireland.
It goes on to list examples of usage as found in Wisconsin, Ontario, Pennsylvania, and Northern Ireland, dating back all the way to 1898.
Wiktionary marks the positive any more as colloquial, chiefly Northern Ireland, US.
Lastly, Merriam-Webster has the following usage discussion:
In many regions of the United States the use of anymore in sense ["at the present time, now"] is quite common in positive constructions, especially in speech <everybody's cool anymore — Bill White> <every time we leave the house anymore, I play a game called “Stump the Housebreaker” — Erma Bombeck>. The positive use appears to have been of Midland origin, but it is now reported to be widespread in all speech areas of the United States except New England.