Well, as culprits go, a mighty cute one.

The pumpkins being 3' long already might be iffy to move. If you think you can get them out w/ a good shovel-full of soil, I might give it a try. Move on a cloudy day, just before or while raining; then shade them for a few days 'til they re-establish.

No matter how hard you try to control them, the vines will probably overwhelm the summer squash. Guess it comes to priority.

Pumpkins don't transplant well especially when they are vining. I would not recommend moving those vines. If your summer squash are anything like mine you will get a bunch of fruit and then the plants will be attacked by something (usually the squash vine borer) and they will die way before winter squash are close to being done. Maybe you would be able to just keep the pumpkin vines out of the way for awhile by directing them wherever you want them and then let them take over when the summer squash start dying.

Another possibility is that maybe you could stake the summer squash and make them grow vertically on a pole. Then the pumpkins can just roam along the ground and hopefully not be in the way.