I just barely crossed the 10K line on so.com. I have the tools link, but no new capabilities on any of the individual questions or answers. Does activation of these things lag? More likely, have I misunderstood the distinction between diamond and 10k, and I'm not in the business of single-handedly eliminating spam posts?
What is meta?
- Any Stack Exchange user can ask a question
- The community provides support, votes on ideas, and reports bugs
- Your voice helps shape the way Stack Exchange operates
No you aren't.
10k's must vote to close like everyone else. The only new ability you get is after 2 days of being closed, you can vote to delete a question. After 3 votes to delete, it is deleted.
The advantages of being a 10k+ user are more in the information you get. You can see all flagged posts, new tags created, lowest/highest voted questions/answers, etc. Some people use this data for different reasons.
Some people will sit on the new tags page and edit away useless tags people create such as 'coding' or 'code'. Others will use it as a dashboard, as it tells you the most viewed/highest voted questions, you can quickly see interesting questions, and spend your time reading those instead of looking at the front page.
You also have this view that shows you new questions by new users, which you can browse and welcome our new victims... I mean customers.
Explore the tools, enjoy them.
And just so you don't feel too let down, several people have suggested that the 10k user's close vote count for more than 1 vote. Given to get to 10k, you have to spend a good bit of time on the site, you should be able to make more informed decisions about closing, and thus should be given more weight.
However, this option has not been implemented. I'm not sure if Jeff has even responded to it.
In addition to Chacha's answer, you can now see all deleted posts (Questions and Answers but not comments).