I would start by rephrasing your question: "How can I convince developers that following coding standards will make their lives better?"
There are at least two parts to the answer:
The burden of proof is on you as the advocate: if you can't make the business case for why adopting the standards will make life better in measurable ways, your coding standards are not worth adopting. This is your major stumbling block: you already have an organization where people are employed to do work so the business clearly already has some success. How does your standard make things better? Your answer should be phrased in terms of dollars or hours of people's lives (which are effectively the same thing in the workplace).
Simplicity is better. If your standards document is pages long, it will be immediately ignored by a busy developer. In my world, the best document is no more than a page long. For a coding standard, I would be inclined to create a single sheet of example code. Provided that I'd successfully made the business case above, I would then say to the team, "Make your code look like this, please."
If you make the mistake of involving more senior management in this discussion, point 1 is even more important. They're going to be surprisingly brutal when it comes to understanding exactly how many dollars your coding standards will save the organization. You can win that argument if you think it through carefully: e.g., reducing debugging time cuts hourly cost as people are able to check off lists of bugs quickly. That's cash money saved.
If you make the mistake of threatening the engineers (e.g., the suggestions of termination above), there's a very high probability that you'll eventually be featured on the Daily WTF.
If you manage to succeed at points 1 and 2, the actual support for standards validation are already well understood. Make sure that as much as possible is handled in the IDE (control-shift-F to format properly, etc.), automated checking tools, etc.
The technical methodology is the easy part. The people problems are always the hardest (and the most important).