I think my backlink profile is weak. I haven't done any link-building besides a DMOZ link. I certainly have some links but I haven't noticed anything incredible.
Sounds like you really aren't sure, but haven't done anything to prompt worry. Natural and unmanipulative may turn out to have been the best approach, assuming you've gotten known on the web and your site is worth linking to.
Keep in mind that the disavow tool is mainly for people who've shot themselves in the foot by building up a spammy link profile. In your case, it sounds like the tool should be the last thing you try. I suspect that Google would give sites like yours a fair amount of warning. Chances are that you're not even be on their radar.
If the inbound links you're worried about look really spammy, try nicely to get them taken down, but, as I mentioned, don't lose sleep over it.