An Axis Poland is a friendly Poland with no partisans if you let the Soviets turn them GiE.
Better yet is a totally conquered non-aligned Poland, after the Allied faction is exterminated.
Note: The following is played on Hard.
I am currently playing a German game in which I followed most of your strategy. I occupied the Rhine, as its benefits outweigh the small neutrality reduction in Britain - it has a bigger effect on France. I have a stronger navy, as I built two runs of two CVLs after my IC runs to build up practical, and built two runs of six CVs (@ '38 and '40 techs). I also built a number of divisions, so I think I had a larger army when the British DOWed in June'42. I kept tanks and infantry, so I have had to spend leadership on more research areas. I annexed Austria after the British DoW.
I let my two fleets of 6 CV+6 CL rip the RN and French fleets for several moths, as I fought an air war over France. Then I went with a Britain first strategy and was happily occupying Britain in November'42 when I noticed that France had invaded northern Italy. I discovered that Il Duce sent most of his army to North Africa, so I had to send my tank army and one mountain army to save Northern Italy, while one Panzergrenadier Korps and one Marine korps invaded from Normandy, like you did. I ended up defeating France, and cleaned up Britain. Then my eight Marine divisions and my lone motorized infantry division hopped from Gibraltar to Malta to Egypt to Iraq & Oman to the two 5 VP provinces in India. In the end, I needed to take Singapore too, and Britain went GIE. Then I had to puppet Nepal and Bhutan while Italy puppeted Yemen for me.
France (GiE) was kicked out of the Allies, and the Allies faction was dissolved.
While all of this was happening, Stalin went after Poland, but botched the invasion. Some 15 Polish infantry brigades put up a brave defense of Warsaw for over a year, and the Red Army positioned several super stacks in Poland, mostly around Warsaw. I finally DoW'ed the Red Menace on April 1st, 1944. I ended up doing a huge strategic encirclement, destroying nearly 100 divisions in a big pocket. Now I need to finish conquering Poland and building up my infrastructure while I fight - and hopefully destroy the remaining 1100 or so Soviet brigades.