Maybe I'm quite dumb, but I have not find a really quick way to start a Lync meeting in my dedicated meeting space. I have to open the browser, go to the dialin page, sign in, copy the URL, paste in the browser... Or, go to Outlook, create a Lync meeting, options, use my dedicated meeting space, copy the URL, ...
So my suggestion is twofold:
1) put an entry in the Lync client menu to start a meeting in the dedicated meeting space (might be an option for the "Meet now" or a new entry in the Tools menu)
2) put an anchor tag (which I did, modifying the js code) in the dialin page surrounding the dedicated meeting space URL, to make it a clickable URL