While, as other answers have stated, reenacting is usually a hobby or volunteer effort, some local and state historical museums or historic sites may hire part-time or full-time actors to help with educational programming. This may not be something to pay all the bills, but it can certainly be a rewarding component to a history-lover's life!
I recommend researching history museums and historic sites in your area to learn more about available work and wages. This will give you an idea of how this facet of history and performance could fit into your career goals, and it may open up some opportunities for volunteering or internship experience. Don't hesitate to reach out to them with questions, either! History museums are fantastic, fun places and should be an inviting community for people who are excited to learn about the past!
If you are also interested in acting in fictional plays or dramas that take place in the past rather than reenacting, which typically synthesizes a very specific event in history, a career in drama could be for you! There are so many ways to fit history into a career - from writing, to museum work, to research, to conservation, to reenacting - you've got lots of options!
P.S. I LOVE history. I got my masters degree in art history with a focus on American art because I find American history so fascinating, and I also enjoy writing historical fiction as a hobby. My love of history was fully realized while working as a conservation technician fixing old books and materials for my college's library. When I say there are a lot of ways to fit history into your life (and as a career), I mean it!