Broad advice I've seen for already-employed people looking for a change: Switch employers and roles at different times.

e.g., Learn enough to be useful, then talk to the security guys at your company. Prove you're useful and trustworthy; see if there's any tasks you can do for them without violating policy. If a spot opens up, see about changing roles within your company.

Or, join a smaller company, where your role and some security responsibilities overlap.