First, you need to know this: Pitching dry yeast into a 1L starter without first rehydrating it is going to net you nothing. What I mean is, about half the cells die when you pitch the yeast into a sugary environment (be it starter wort, beer wort, wine must, or sugar water) so the growth from the starter is just regrowing the cells you killed initially. Using YeastCalculator.com, and using 100 billion cells as a starting number (200 billion in the packet initially, 50% surviving the pitch into the starter wort), and doing a 1L stir plate starter, you end up with 236 billion cells.
Properly rehydrating the yeast would have gotten you in the 150-200 billion cell range. Pitching those cells into a 1.5L stirplate starter would have doubled your cell count, meaning all of the original cells would have had a chance to divide, and ensuring that you get at least one doubling is really the healthiest way to propagate the cells. Usually with dry yeast, it is cheaper and easier just to buy a second packet of yeast if you need more than 200 billion cells.
On to your question, your yeast will work pretty much just as well now as it would have had you properly rehydrated it. It seems like you are going to want to pitch the entire starter, since you don't have time to really cold crash it and get the yeast to all settle out. That doesn't really pose a problem, lots of people pitch their starter. There is a good chance that you would benefit from pitching more cells than you have in that starter, though. Take a look at a pitch rate calculator like the one I mentioned earlier and that will help you. You enter in the volume of wort you are making and the original gravity, and it tells you how many cells you need to hit a healthy pitch rate. With a double IPA, generally you need more than 200 billion cells. If that is the case, and you have a LHBS nearby, I'd suggest grabbing a second packet of yeast. The most important factors that impact the flavor of your beer, IMO, are sanitation, pitch rate, and fermentation temperature (beer temp, not ambient), so getting the right number of cells to do the job is a biggie in my book.