Preface: If "I'm better at X than you are at Y" or "I love X more than I miss Y" don't use the same construct, please advise and I will edit this post to ask only one question or the other. I've included both under the assumption that they are related and thus may use a similar grammatical construction.
Question: When expressing two disjunctive ideas that may or may not be attributable to the same person and that are not of the same metric, what is the correct grammatical construct to use?
Examples of what I'm asking:
1) I'm better at playing basketball than John is at singing karaoke. (different parties (i.e., me versus you), different metrics (i.e., playing versus singing))
2) I love Japan more than I miss America (so I'll stay in Japan). (same party (i.e., me), different metrics (i.e., love versus miss))
Background: I've been unable to find such a construct in either A Dictionary of Advanced Japanese Grammar, A Dictionary of Intermediate Japanese Grammar, or on Google. For whatever reason, I'm reminded of the two possible ways of expressing "while" (ながら when referring to the same person and 間/間に when referring to two different parties). I imagine that there exists a concise way of expressing something similar in the case of my question.
My attempt at an answer:
1) I'm better at playing basketball than John is at singing karaoke.
2) I love Japan more than I miss America.