Judo doesn't train hard and physically? I think you are clueless. I don't know about US judo, but in the big judo countries and at pro level they absolutely do. It's a huge sport and the competition is fierce, of course they do all they can to reach the top. I don't understand where you are coming from.
You can watch the fights yourself, both the wrestlers and the judo guys I mentioned fought small names and big names. For example, the judokas I mentioned fought (winning or making it competitive) "cans" like Mark Hunt, Wanderlei Silva, Antonio Rogerio Nogueira, Murilo Bustamante, Don Frye, Kevin Randleman, Josh Barnett, Alexander Emelianenko etc.
No matter how highly you respect those names, the point stands that pure elite judo seemed to do a lot better than pure elite wrestling.
As for pure wrestling vs pure judo head to head, it's obvious that judo has the advantage in the submissions and wrestling in that MMA is no-gi. And all this is much simplified of course.