From my perspective, it would be a better choice to rebuild the cabs and stain them rather than paint them.
The wood is oak - it's easy to find and it's not that hard to match the stain - I did when I built the
dinette in our '64 GlobeTrotter. Your doors look like they could be salvaged if you just sand them down and refinish them. If you are refinishing the doors (or building new) the boxes could all be stained at the same time.
The second reason I'd say "don't paint them" is I had to remove a previous owner's paint job in
our '56 Safari - it was a PITA!!!

I would never-ever buy another painted interior - nor advise anybody else to.
Your resale will be much better with stained wood cabinets...especially if rest of your interior is close to original.
But that's just my 2-cents.
Shari