Jetbrains do go some way towards addressing the point you raise, with their language specific editors. I use a broad enough cross-section of those languages that I stick with IDEA ultimate, but my experiences with PyCharm, RubyMine and WebStorm have been nothing but positive.
Qualifier: All IDEs, and especially IDE interfaces, are not created equal!
Of course, the result won't be as light as Sublime text, because it is already a Java IDE :).
Also, I don't really see the point. I start or restart my IDE (IntelliJ) one time a week. So, it's not really the startup time that matters. Once started, IntelliJ is fast on all my machines (including my work iMac, which still has spinning platters).
So I assume you don't use your IDE for modifying local configuration files, or taking random notes, then. Startup time (and having multiple lightweight instances) is important in these cases.
People replace Notepad/vi with Sublime Text, in order to get all the benefits and power they're used to in Sublime Text when editing even the most mundane or ephemeral document. You can't really do that with IntelliJ.
Note that I'm talking about personal use. If I were a full time developer, I might force myself into an IDE.