I would like to see how many close/reopen votes my question currently has.
The ratiocination is such that I can decide how much effort I'm going to put into it, how many people think the same as the closers, and etc.
According to the SuperUser FAQ section on Reputation, once you reach 250 points of rep, you have the ability to vote to close, reopen or migrate your own question. That also means that you will be able to see other people's close votes as well. The functionality you're looking for already exists, you'll just need to earn some more rep before you can use it.
If the question is your own, the FAQ states that you can vote to open/close and you can see the close reasons ( look below)
If the question is not yours, and you're a 3k+ user, you can see the number of close votes on the question.
Clicking on the close link will tell you the reason for the same
So, the system does have the features that you request for, just you will need to earn the required rep before accessing them. Having said that, as JNK mentioned, most of the times, the people voting to close will leave a comment as to why the question may/will be closed.
Do note that even if your question is closed, you can revise it and maybe change it to a state is acceptable according to the FAQ. once you feel that you've revised it enough use the option to flag for moderator attention and drop a message stating that you feel the question is now in a state that can be answered by the community. Note that even if the moderator re-opens it, the community may vote to close again.