The thing you need to remember is this, you are on the right track.
The site helped you more than you know. You also need to remember this is a basement, you need to not use plastic for vapor barrier, it causes many issues when you change the dynamics from what you had.
Installing an insulation board against the concrete wall will do the best job of slowing vapor action. The thicker the better. The water vapor enters the basement by capillary action,not always visible water. This collects on the plastic when it reaches the dew point, like a cold soda on a hot day. Then you end up with water at the base of the wall and anything organic cellulose in nature will absorb it. Wood, dust, paper ...it's deja vu all over again, mold grows.
I like to keep that material expecially carpets out of basements.
The institute of building construction technology
www.eeba.org has done extensive testing on these subjects , this is another avenue to educate yourself....if you want to do it right check out the building science books for your area. They have extensive drawings and details on the entire home. Thase books are a must have for anyone working on homes or just want to know more.....with pictures. I have the cold climate book, it is my bible so to speak. It is worth every penny.
These are my opinions, you can do it right once....or correct it for a long time.
Keep reading, even go back and reread the site. You are on a good track. That basement isn't going anywhere.