The Logo / Seal / Patch should convey a strong sense of responsibility, tradition, honor, and have a slightly aggressive look.
Keep the color scheme simple, three or four colors total.
I like the idea from the Rangers patch with the crossed firearms in the background. The shield from the Strategic Air Command is another element I like. Rogue Status has many designs that I like. They are stylish and trendy.
Note: Rogue Status uses many different assault rifles in their designs. However the Second Amendment club will be primarily be teaching knowledge with small arms and hunting shotguns and rifles. But if you think you have a good design that uses them; go for it!
The Logo / Seal / Patch should be able to scale to fit a verity of printing and publishing needs. (Ink pens, lanyards, safety glasses, business cards, Polo and T-shirts, large posters, banners, websites, Facebook, Twitter, and other social media websites.
Lastly, since this will be used on a variety of different media/materials we need it to come in four color modes. Full color, gray scale, two toned, and black and white.
If you need more info or have questions, please do not hesitate to ask.