I think that would require a botanist.* There are so many mints I wouldn't know where to start.* You could ask the folks from this botanical garden and see if they would know.* Be sure to add your state and hardiness zone as it's located in British Columbia, Canada.* Here's the main forums page.
For outdoor plants you could ask here.* Consider asking for an id on your vines as well.* I'd love to know what they tell you.
When weeding, the best way to make sure you are removing a weed and not a valuable plant is to pull on it. If it comes out of the ground easily, it is a valuable plant.