Mentioned by others, but that mottled stain will be difficult to overcome. Have you considered paint rather than stain? If wood grain is very important, you could try to tint a poly finish - that would prob give the appearance you want - basically painting though.
Recently encountered this issue. Solution was many, many coats of stain and prestain, over about 4 days, light scraping with a sharp card scraper to level the surface each time.
After that ordeal, I have now learned that the pro move is a light base coat of Shellac, then on to the stain. I guess that helps to close pores more uniformly. Haven't tried this way yet myself. Good luck!