Interestingly enough we have been given the blueprint on how to do this by another movement that was corporately sponsored. The Tea Party. Unfortunately it took and still takes a lot of money to keep that movement going. There are some important lessons we can learn from them though. If you look at their success and how it was done, why can't we do the same for what we find to be important?
Once your initial research is done, a possible course of action should come to light. You should attempt to discuss your ideas with others. People will surprise you and come up with new ideas or thoughts you hadn't encountered before. You need to be thorough and obtain proof or information that backs up your assertions. You also need to be prepared for all counter-arguments no matter how bizarre they may be.
Make a Catchy Movement Name and Slogan
The name of the movement should be even shorter. You will need something to call the movement for social media hashtags and any websites that you may need in the future. I'll get more into that in a bit. Coming up with the name of the movement and these slogans can be just as crucial as everything else. Having great ideas won't mean anything if it doesn't resonate with the average man. It not only needs to be a great idea, but it also needs to have a name that sounds good. People can be fickle and may not support you simply because your favorite color is blue. Don't give them any reason to ignore you.
Repeat, Repeat, and Repeat some more
Be Social Everywhere
Unfortunately most of us are working paycheck to paycheck to pay the rent. The next best thing you can do is to build a following through social media, meeting people in person, and friends/family. It's unlikely you will be able to get any press coverage unless you are able to build a larger following. The best way you can do that is to socialize with people any way you can. The more you can get others talking about it the bigger the movement becomes. Unfortunately this could take several years before your movement gains enough traction to get noticed.
If there are any websites that discuss similar ideas then you need to be active in their comments or forums. This adds a bit of credibility if you are accepted by those who are regulars in these circles especially if they are considered experts. You also need a landing page that outlines your ideas with the proof or supporting documents included. Most won't read it all, but it may also spark further discussion with those who do. For those who skim your blog or website, you can use your headers to put emphasis on thosy catchy slogans.