sure, to answer these questions..
1. F 22's most likely wont be deployed outside of us airspace (usaf f 15, F16's and US navy F 18's are good enough), F 35's havent rolled off of production lines yet and the US af has retired all f 117's. (you can check these on your own time, Im not making these up). However, getting back to point, in the past, US doctrine has been to send its navy over, do mass cruise missile attacks, send B 52's heavy bommers to flatten out entire airfields, then send mass waves of literally (many hundreds) of combined US navy and USAF fighters to take out the remaining half a dozen enemy fighters out of the sky. this happened in gulf war 1 (after the iraqi air force was badly beat from a 10 year iran iraq war). 2. in serbia (kosovo) another air force that didnt have more than a few dozen air worthy fighters in the first place. Pakistan would be a different case, we have not just gone through a 10 year war or have a few dozen aircrafts in the inventory. The number of aircrafts in PAF inventory are not enough to keep fighting indefinitely, but they are enough to fight a long enough air war to make things a bit harder than a "cake walk". also in gulf war the us had the advantage of the fifth fleet in baharain and airbases in saudi arabia that they had constructed in the 80's. they wont have the same logistical advantages in the case of pakistan.
Paf might not have an answer to the su 30, but we have capable F 16's,,, and more so you are forgetting that the IAF would fight a war over "pakistani skies". PAF would have the advantage of data link from ground based radars, ground based SAM and other air defenses, and a very good knowledge of terrain and the advantage of long prepared doctrines and plans of how to deal with enemy aircraft over home skies. this allows for a smaller number of PAF aircraft to be better coordinated to deal with larger numbers of enemy aircraft. the IAF and IN do not have the same capability as the US military to be able to take out all enemy air defenses through mass strategic bomming or cruise missile attacks. (and dont forget the PAF and army have chinese cruise missiles to disable IAF airfields also). therefore the air war would be far from easy. the IAF will proably achieve its tactical goals, but not without a very heavy cost.
2. The question is not matching india in conventional warfare, I dont think you understood my point. The idea is to prolong the war long enough that indian forces withdraw due to high attrition, high financial costs and high human casualties. There is a big difference in training to "Defeat India" and Training to "Defend Pakistan" defeating india might would be out of reach because of the massive difference of scale between the two nations (population 1.2 billion vs 170 million) but defending pakistan is something thats not that hard to do,, we have a smaller frontier to protect (unlike indo pak + indo china + indo mayanmar + indo bangla) this allows for military assets to be focused better, further more the terrain in kashmir doesnt allow for an all out invasion, which lets us focus our forces on Punjab, Baluchistan, sindh frontier.
Again my point was (india will not be able to fight a prolonged war because of a lack of military industrial infrastructure, lack of financial wealth and a lack of international influence) as long as pakistan is able to continue to fight, even if its on our own soil and prolong the war, public opinion and political will in india will gradually but surely change to end the war.
lets look at 2 of indias last military engagements on "Foreign Soil"
1. 1971 war
2. IPKF
1. 1971 war, yes the indian military was able to secure a victory, however you have to understand that East Pakistan (bangladesh) was under full armed revolt (because of many political mistakes made by the ruling parties in pakistan then) and military supply lines had to go across india, which was an impossible scenario. Indian forces also gained some victories on the western front, but these were against desperate Pak Army attempts to draw the indian army to the west such as longewala. A full scale invasion of pakistan would have been much harder to achieve. the political aim in the 71 war was to seperate bangladesh from pakistan, which took a matter of weeks and a swift war since there was already a revolt.
2. IPKF deployment in SL was another indian war fought on foreign soil, and again in a civil war scenario. but this time the rebels turned on india (which india did not forsee) and intense fighting that went on for almost a year saw hundreds of indian casualties, lots of money spent on the war effort and a stretched supply line. after a while of fighting, the indian public and government just lost all will to fight (seeing the high cost of war).
finally, what would be the point of a short quick war with pakistan again where your forces reach Rawalpindi or peshawar, only to turn back and go home? would there be any political goal behind such a war? all I see is a loss of lives, a depletion of military hardware and a drain of precious money on both sides. sending a massive indian military invasion in and out of pakistan wouldnt solve any of your problems and they wouldnt solve any of ours
the problems we see on the subcontinent today will take time, money, education and patience to solve as i see it. """"TRADE, BUSINESS, DIALOG, and JOINT PROJECTS""" can solve our problems, wars would bring both nations just where we started. do what the chinese are doing, build ports, railroads, trade poasts and factories in your neighboring countries, that would solve your problems. a fleet of su 30's most likely wouldnt.