While India sees Pakistan as having supported Islamic terrorists, Pakistan makes a bunch of distinctions (in the increasing order of popularity within Pakistan, as far as I can make out).
1) Taliban (Afghan and Pak) - Nowadays most of the opinion seems to be "Kill all Taliban". The earlier Afghan/Pak Taliban divide seems to have vanished. Pakistani Taliban are seen in a slightly more favorable light than the Afghan variant.
2) LeT/JeM - They were Kashmir oriented and were funded earlier, but now they are seen as putting Pakistan in a bind when they expanded their operations. Their involvement in Lal Masjid is also questioned. The term for them is now "non-state actors", signifying, I think the idea that they have no state support. There might still be people's support.
3) Assorted Kashmiri terrorists who were earlier funded, but no longer are. There is some disagreement in Pakistan about whether they are good guys or not. Earlier statements used to say "we provide political support to freedom fighters" but nowadays it is "We hate terrorists, but have issues with India over Kashmir". They may still have camps in Pakistan territories.
4) Gangsters, spies etc. who were Indian but now are in Pakistan (the older Mumbai blast, counterfeiters) - The military establishment atleast in Pakistan seem to view them as not-terrorists or as extensions of the secret service.
5) The extremists in the establishment, in ISI and the Nuke scientists - Absolutely seen as Pakistan's own.
Pakistan is offering to act on first two. India seems to want commitment that the people on items 3&4 will never act against India.