as rls said, folic acid is a necessary vitamin, so it seems to make sense to have your doc check out your serum folate level...if it is not low, then there's no reason to supplement.
On the other hand, if the blood test reveals your serum folate is low, then the benefits of supplementation will probably outweigh any potential interaction with 6 mp. I'm not aware of any scientific basis for your doc's position - am pretty sure no clinical trials have been done, documenting any interaction between 6 mp and folic acid supplements.
Also, the web site www.drugdigest.com does not list any interactions between 6mp and folic acid supplements, but it DOES list interactions between methotrexate and folic acid supplements. 6mp, UNLIKE methotrexate, is not an "anti-folate," so it makes sense that no interactions have been found between 6mp and folic acid supplements.
While 6mp can indeed suppress blood cells, this is NOT its primary mechanism of action (tends to be a by-product of how 6mp works) and no, there's no evidence folic acid supplements interfere with how 6 mp works.