In my opinion, there doesn't seem to be a lot of new areas to explore in Xillia 2 from Xillia 1, so going to the same places might wear on you some. Also, there is a big difference in how the parties are handled between the two games. I don't know if I want to say much more on that without spoiling anything. Maybe you already know. For these reasons, I do believe skipping to Xillia 2 would be fine.
On the other side, I feel you learn a lot about the main cast in Xillia 1 that you miss out on in Xillia 2. Please note that I don't read books or play a lot of rpg's outside of the Tales series, so each Tales Story has always at least entertained me, if not completely blew me away, so I don't mind playing through them back to back, but I can understand how it could grind on some people.
To summarize:
Pros of Playing Both:
1) Two full stories that flesh out the characters.
2) Slightly different game mechanics to check out between the two.
Cons:
1) Revisit the same areas pretty much.
2) Arte Usage doesn't carry over (this kinda bugged me for reasons).
If you are just going to play one, I personally believe Xillia 2 was better, but that is just my opinion. I hope this helps some.