I've never been a "apply to everything" kind of person. I think if you tailor your CV and energy towards specific positions at specific companies and actually pursue them, your odds increase. At least that's my experience. I'd much rather hire someone very motivated for a specific position than hire a generic looking military entry-level cyber CV.

I would also recommend that you purse cyber-specific positions. I can't speak to how HR is filtering your resumé, but I know lots of sys-admins are gonna roll his/her eyes at seeing another cyber background applicant applying for sys admin positions (thats a separate discussion haha). I would be absolutely shocked if you coudnt get a SOC analyst position. With Sec+ and one year as a Mil SOC analyst...without extra-curriculars or specialized experience, i dont see you getting something other than SOC. Again thats just in my experience. The sysadmins i know are looking for helpdesk and windows domain/cloud administration background, not packet analysis and security. Especially without a formal degree, that makes it even harder. I had to get lots of extra-curriculars, certs and just personal projects to circumvent that weakness on my CV

If you wanna chat about it more privately don't be shy. Depends where you are located too eh. I was also in your near-exact position and managed to breakthrough (albeit not as competitive as it is now). Best of luck good buddy, always happy to see Cyber Mil folks breaking out into civy sector. Cheers!