So it's not what the article is calling Tolkien, it's what the article is implying about us that I mind.
You're right. We are not supposed to consider it a guide book for real life (although I do like the cloaks) but instead a fantasy escape. The non-tech (and yet magical) world he created holds a lot of romance for me, and that attraction I don't mind sharing with the hippies or the greenies. It is OK to share this appreciation with them, IMHO, because it is a good vision. The fact that people from many different ethos love the story speaks to the very basic truths that lay within it... Virtues that are good no matter what your point of view must be right on... on everything else, we have to argue.
The publication this came from is fairly liberal, so the connections it points out to readers are those that are important liberal readers. We just happen to like them too... There are other elements of the story that would be highlighted in a conservative publication (like loyalty, patriotism, freedom), that they may like too (yes they would) even though that writer was conservative. Both sides can like it because it rings true.