Career switch into quant trading - viable?

Hi all,

Been considering a career shift into quant trading for quite some time. Unlike most people here asking for career advice who are mainly undergrads, I'm 5 years out of undergrad with some (hopefully) relevant experience under my belt. My background:
-Applied Math/Statistics major from a top target
-Trading internship at a prop shop (they went down and under since)
-1 year quant dev exp at another prop shop
-3 years of work exp in data science/analytics
-Well-versed/experience in different markets (fixed income, equities, futures, vol, commodities)

tldr - decent mix of quantitative/programming background + exposure to trading world. From what I've heard, most shops aren't too keen to bring in people outside of the industry (meaning they only hire experienced traders + recruit out of school). Is it feasible for me to land a gig at one of these places? Would I have to start from a pure junior role despite having some relevant (but scattered) background?