This is a bad idea.
On the surface, it seems as if it would provide us immediate and strong leverage negotiating with the company on our amendable date because of the ability to strike. This is a true statement. However, there are many negative aspects of the NLRA. Here are some of them:
A company can divide labor into "appropriate" groups. What this could mean for us, is a base by base contract. SLC would have a contract, Seattle would have a contract, and Los Angeles would have a contract. They may not have the same expiration date and duration. The ability to whipsaw one base against another would be easy and expected. Decertification, like Boeing did against the IAM in South Carolina, would weaken and divide us.
The NLRA also has an exclusionary supervisory provision, meaning those employees in a supervisory position, do not belong to the union. Chief Pilots, Administrative Pilots, even Captains might be excluded from the union. Again, it would weaken and divide us.
Additionally, the NLRA has a provision that protects a corporation's secondary activities. This is defined in a manner that limits or prohibits a union from interfering with legitimate business agreements of the corporation outside the scope of activities directly related to the union member's job. What this would likely mean to us is the elimination of both domestic and international codeshare protections, and joint venture limitations. Again, this severely weakens our bargaining strength.
Lastly, there are many states that have Right to Work laws. Agency Shop provisions would not be enforceable in several states. While I have heard the argument that the best way to get your union to pay attention is to stop contributing money to them, this is a weak argument. If we allow the 5% of our professional life we disagree on to ruin the 95% we agree on, its long term affect is division, and eventually failure.
In summary, the NLRA is a path we do not want to take. Its path leads to division, and a fracturing of our power under the RLA. Unions do not grow stronger because they take a separate path, peel off members, divide base against base, or allow discord on a small part of their professional life ruin the large part they agree on. Conversely, they do grow stronger when they include more members, protect the weaker, and work through the disagreements.