Yes, it's going to happen sooner or later. In a perfect world I'd love to have baseball without the DH but it's never going away now. Why have pitchers hit/run (other than "tradition"), why have a major fundamental difference between the way the two halves of your league play/manage?
I love that there is a different strategy in both leagues so no I don't think the DH should go in the NL as well. I do think it'll happen eventually, but I hope it isn't for another 10 years.
I would really like to see it taken away from the AL, but the players union won't let that happen. Part of me would like to have a DH in the NL just so people who say Kershaw has bloated numbers because he faces a pitcher instead of a hitter a couple more times a game would not have that shitty argument. No DH.
I prefer NL baseball over AL baseball BECAUSE there is no DH. The DH rule takes away the fun of having clutch players off the bench and just replaces it with any ordinary player. Plus, I love watching pitchers who rake. (Bartolo shouldn't retire until the DH rule is implemented in the NL, and if that never happens he shall play for eternity, only in the NL)