No, please no. If size is an issue for some reason or you want to have no dependencies you can use something like http://zeptojs.com/ and just embed everything in one minified file. If you do things right only the functions you are actually using will get placed in there as well. Do not reinvent the wheel to solve problems that can't be solved in much cleaner and nicer ways. Managing dependencies can be annoying, but…
I believe the point is that many libraries use about 1% of jQuery. That hardly justifies pulling in the entire thing. A personal anecdote: I recently un-jQueried a little piece of code and ended up with only a couple lines of extra code. Certain parts of jQuery are heavenly and well worth it, but really basic usage doesn't actually save that much. $("#something") instead of document.getElementById("something") is not…
Since I code mostly in clojurescript in my home hours any functional idioms from jQuery I no longer use. A long time ago jresig joked about making an oo form of jQuery. It's not that funny now, as it might be slightly easier to wrap an object based lib for all the various compile down to js languages (typescript, coffeescript, clojurescript, scalajs, etc)