When downloading mods via Steam, close anything related to DayZ including the launcher, the game and DZSA Launcher. This gave me a complete list of the required mods to play on any MTAS server and comes with the added benefit of subscribing you to all of the mods on Steam. It is safe to use and will tell you what mods you need to play what servers. Anything in bold is the general gist of the bullet point and I will include links where applicable. I'm going to list a few of the ones I have seen out there within this thread to help those who may have the same issues that I had trying to get into the MTAS servers. There are many, many different fixes out there and a lot of them simply will not work.
