You chance for total privacy on this domain is pretty much shot at this point. You've already connected yourself with the domain, but more importantly the domain has had your information listed in the public whois database meaning that it is already easily publicly accessible and likely stored in many places (Whois history services, marketing companies, maybe an evil government organization, etc).
Going a step further, you also have to be sure that your hosting account is totally secure and not going to be hacked by an individual or group bent on getting into your site and seeing private information there, or on other sites hosted by your same hosting account.
At the end of the day, you should look at like this: The internet is a big place with many competing interests and at least one person/group who really wants to find something out probably will. Given your whois data and the other stories on the internet concerning that region, I wouldn't proceed without understanding the risks of being exposed in one way or another, which is likely to happen at some point.
(Disclaimer: I am currently employed by MDDHosting. The thoughts and views in the post are my own and shouldn't be taken to reflect upon MDDHosting in any way. All detail and information in this post as well as the information I reviewed prior to posting were done entirely using publicly available information without accessing private MDDHosting staff details.)