How bad the RAF wants the long range fighter (yes, we know they don't want it)? Lengthening 1/5th of take off lanes by extra 200 ft (70 yards?) to accomodate the longer ranged fighter should be cheaper than to produce bombers that Germans will make the practice shooting of.
What take-off lanes? RAF 'Fields' were pretty much exactly that, 'fields'. Grass "fields" roughly square in shape so the planes could take off in whatever direction the wind was coming from. The Grass Field presented another problem. To prevent heavy aircraft from putting ruts in the field ALL aircraft, bombers and fighters, had were limited to the same maximum tire pressure. It was only as the war got closer that fields were extended by buying or commandeering neighboring property and a few planes were granted exemptions form the tire pressure limit. Whirlwind was allowed 42psi instead of the standard 38psi for instance to avoid redesigning the engine nacelle and doors.
The tipping point is achieved once Merlin I/II/III is available. It provieds twice the power of what Jumo 210 was doing. Another tipping point is achieved with Merlin XX, that does not have peer in LW service before late 1941, when DB 601E is finally cleared for 2700 rpm.
The Merlin I/II/III was hardly a tipping point as the British were well aware that the Jumo 210 was Kestrel class engine and that the Germans would be working on something better in short order (if not already, Germans didn't put out press releases unless it put them in a favorable light). The French already had 860hp Hispano engines and were working on improving them. Germans were displaying 950hp DB engines in international flying meets in mid 1937.
Designing a long range fighter when the Germans are flying Jumo powered 109s is one thing, actually flying them in service once the DB powered 109s reach the squadrons is another story.
Germans do not
have to match the Merlin for power. The interceptor fighter does have to come close in power to weight ratio though, which means the defending fighter can equal the performance of the escort fighter while using a lower powered engine if the defender is light enough.
Germans were using the DB 601N engine with 1175PS at about 16,000ft in the Fall of 1940 (some had shown up in the summer of 1940). Only a few hundred to be sure but then the British didn't instantly replace all Merlin IIIs with Merlin XIIs and Merlin 45s in a matter of a few weeks either.
Didn't I've alredy stated that Bf 110 was not ideal for the job? Keep things simple - 1 or 2 (in German case) crew members, 8-12 LMGs, either Merlin or DB 601, not too big and that's it. RAF has advantage in engine power at altitude at least by late 1941.
Mentioning the Bf 110 was to show that it is not enough just to have some sort of fighter show up. The fighter has to able to put up a creditable fight which the 110 could not. BTW the armament in the 110 was no heavier than what you are proposing. 4 LMG and 2 light cannon aren't much different in weight than 8 LMGs and and lighter than 12 LMGs. It rather depends on ammo carried.
Not every long range fighter was a lemon like P-75. Talk P-47N, Merlin Mustang, P-38, P-82, Hornet.
True but then the P-47N, the Merlin Mustang and the P-38 were
not designed to be escort fighters. They were adapted from existing designs which means they managed to avoid some of the unrealistic "wish list" type requirement/s that bedeviled many new aircraft.
They also benefited immensely from the better fuel and engines. A P-47N with R-2800-21 engine without water injection and a tooth pick prop trying to fight with 500 gals of internal fuel??? even if you left 1/2 the guns home and 3/4 of the ammo things might not look good. Same with The Mustang. The two stage Merlin gave several hundred more HP for only a few hundred pounds of powerplant weight. P-38E with the 1150hp engines and 400 gallons of fuel after the drop tanks are gone? Got to loose 600lbs of
something, guns/ammo/etc to get the performance back. 600lbs might be worth 200fpm of climb to the P-38 (or more?)
By the time P-40C is available, the Merlin 45 is around (the Merlin XX even earlier), so let's stick that one. No wonder P-40C was a worse performer than Spitfire V, at 15000 ft it has 300 HP less and admitedly greater weight.
edit: the Spitfire with 20-30 gals extra is a better bet
OK My mistake, the P-40C did show up late, but Tomahawks with 160-180 US gallons of internal fuel (ex-French contract) were showing up in England in the fall of 1940. The extra fuel was certainly not the only reason for the extra weight but these P-40s were real airplanes and not a hypothetical aircraft of rather indeterminate performance. Some of these Tomahawks were "rated" as having a range of 1200-1300 miles which only seems possible if the pane was towed into the air, the engine started and then flown at the exactly right altitude/speed until the fuel ran out. In other words the rating is bogus but obviously they had more range than a Spitfire. Again, like the Bf 110, range wasn't the only requirement. The fighter had to be able to actually have a decent chance of fighting in the environment of the time.
P-40 was not the only long range aircraft with humble power, let's take a look on the Ki 61, granted a mid-war aircraft, but using an engine of less power than Merlin III or the early V-1710.
Uh, no. It had more take-off power than either and had very close to the same power at altitude. With 121 imp gallon of internal fuel (145US?) it's range had a lot more to do with better aerodynamics (less drag) than fuel capacity. Claiming you could design a fighter in the mid 30s that could match a fighter that started design in 1939 ignores the lessons learned in the intervening 3-4 years.
The fact that escorting fighters are already at 15-20 kft, cruising at 250 mph puts them in advantage vs. defendes that need to climb 1st to get there - altitude and speed advantage counts for something. The defending side can call up the fighters that are nearby, say those at Ruhr area, while those around Hamburg, Munich or Berlin can't help. Makes things interesting - 500 bombers and 200 escorts vs. 250 defenders?
The beginning part of your scenario only works if the defender has a really crappy early warning system (near border/coast or telephone system doesn't work? ) radar was not a necessity. Even the Chinese managed 20-30 minute warnings for raids from Japanese bombers at times. A fair number of the defenders would already be at altitude waiting for the raiders to show up although even with early radar exact location and especially altitude were often in error.