Conservative Jews have other halachic issues, but some of them do fully keep kosher. Probably not the majority, though- I would say that the majority keep kosher “to some degree”. (I know, that’s a weird term, but I’ve seen it used on dating websites, of all places. Basically, I think it refers to people who keep kosher homes but eat treif out, or just dairy out.) Still, I personally know a few Conservative Jews whose homes are completely kosher AND who only eat at restaurants with hechsherim.
I’m not trying to legitimize Conservative Judaism, just saying that Jothar’s statement was based on an incorrect assumption.