I have created a version of Twitter's new official Tweet Button that works as a Chrome Extension. With this extension you can view the Tweet Count and Share the page for all web pages, even pages that don't have embedded tweet buttons.
The Tweet Count shows in red over the T icon to the right of the address bar, so you immediately know how how many tweets the page has received. If you want to Tweet it, just click on the icon and Twitter's official share box will appear, the same way it would if you had clicked a Tweet Button embedded on the page itself.
Simple as that.