Obtaining Faction Insignias

To keep it brisk,
Lately I’ve been thinking that it would be fun to try to fit a navy issue ship with a mostly navy fit. Although the loyalty points seem manageable with some grinding; the insignia amounts seem absurd. (especially for the weapons)

I know it’s possible to obtain these from FW, however I’d rather not take part in it. Thus, is it possible to get missions against an enemy faction (Minmatar in my case) and if so, what is the highest mission level I would need to run to gain access to all types of insignias?

Thanks in advance! o7