In 1941 total assets that where assigned to Rommel would be two full strength panzer divisions, a mechanized light infantry division and 400-500 aircraft (counting replacements and the like)... basically a full strength panzer corps and an extra Luftflotte... the butterflies of his corps depends on which army group he is assigned to... I have argued previously that if he was assigned to army group north's panzer group 4 that Leningrad would become truly and utterly surrounded and likely fall, greatly easing the supply stain (since ships could feed army group north and some of their logistical assets could be xferred to the other army groups
if he was with army group south, you could see the Germans hold Rostov over the first winter (since their flanks wouldnt be so recklessly in the air)... I don't think this would be off to much value
if he was with army group center you maybe see quite a few less troops escape out of the Vyzama disaster... maybe the Germans reach Moscow proper, but they utterly lacked the strength to take the city
2 divisions is INSANE... Narvik was part of the Atlantic wall, and fortified with artillery and bunkers, direct attacks against ports where shown by Dieppe to generally be a bad idea.... You can't accomplish anything with 2 divisions... the Germans in otl had 12 in the country with the med theater and getting slaughtered on the eastern front...in what battle did the British perform well against the Germans where they didn't have serious numerical supriority... in Italy in OTL where their supply situation was far more secure they had a slow laborious death struggle to move forward inspite of outnumbering the Germans 2.5-4 to 1... if we except that a British division was capable beating a German line division in a one on one match (and that is without giving the Germans any tactical advantages due to the terrain, where they could fortify the mountain passes and make it impossible to advance) the British would still need a full field army...and you think there was little air support in the winter in northwest europe... wait till they do a northern norweigan winter... the Germans might invest and box in the bridgehead... wait for winter to close air support and obscure visability for naval fire missions and open up an offensive against the bridgehead, which might push it into the drink
*sigh*
Ireally sympathise with Grimm, you are so divorced from the realities of WW2 its silly..
Extra forces in Russia are fairly irrelevant, the bottleneck was logistics.
Norway part of the Atlantic Wall??! What hav eyou been smoking... first it wasn't, second the wall was pitiful until 1944.
The purpose of a few divisions is, initially, to placate the Russians. In any case, given the terrain its likely that the actual meeting forces would be quite low. germany have to reinforce by sea (RN subs in the area), then a slow train and road trip north. British have to go a further distance by sea alone (again, with added U-boats). Not much difference. However Britain no longer has to ship troops and equipment 12,000 miles around the Cape. This frees up a LOT of shipping...
The issue I have with Murmansk is Stalin. In OTL he didnt want any allied troops fighting in Russia. However he might if its JUST to take northern Norway (the troops would only be attacking out of Russia, not staying in it). That way any forces in the north get squeezed from both sides. Bonus, after that Finland is looking a lot less secure..its possible some sort of peace could be brokered (something broadly in line with the 1939 boundaries), that would free up Soviet troops. I think the allies would rather that than have to invade Finland.
I wouldnt expect the British to get much further south at least initially... it would be very much an infantry war. But if they can keep a secure base and reinforce it, once Stalingrad comes around.... as long as they have the landing craft, they can keep jumping German defensive lines with further landings (as they should have done in Italy....). They also have a far more effective and militant resistance aidiong them than in Italy, its going to be a boggy mess for germany as well as Britain. But its far closer than the Med.