Can Integrate AspDotNetStorefront And Sitecore

integrate AspDotNetStorefront and Sitecore? I've been trying for the past couple of days to come up with a way to get the two systems to play nicely together, but it doesn't seem feasible from what I can tell. A couple issues I've run across so far:

Authentication between the two (AspDotNetStorefront has its own implementation, Sitecore just uses/extends .NET Membership)The main DLL for AspDotNetStorefront is what pops up in the stack trace when I get yellow-screened, but that DLL is obfuscated so I can't figure out what the problem is.

we need to keep our existing AspDotNetStorefront application as an e-commerce backend and use Sitecore to do everything else. AspDotNetStorefront has a CMS as part of it, but it's really not an acceptable solution for anything but really basic content pages.

EDIT:

I've decided to break this whole thing down into the different problems that I am facing at the moment and solve each one as efficiently as I know how. I'll detail the ones I have here and then update when I run into new ones.

Problem 1: Authentication between the two systems.

This one isn't too bad actually if you're knowledgeable about forms authentication tickets, which I wasn't at the time but am learning quickly enough. As long as the two systems share the same encryption info, it's easy enough to pass information back and forth between them using cookies as stated below in the accepted answer. The other kicker is that I needed to set the CustomerGUID in the AspDotNetStorefront Customer table to be the user ID from the Sitecore user tables (standard ASP.NET membership). So far this approach seems to work pretty well (I'm still in the proof of concept stage at the moment.

Problem 2: Getting at the product data

This one was a little more troublesome. The aforementioned web service has a few issues I've had difficulty working around. However, since the databases are going to be on the same server, I simply decided that since all I really need is the price and ID I would go ahead and set the ProductGUID column of each product in the Storefront database to match the Sitecore item ID of the corresponding item in the Sitecore database. This way I just need a quick query to grab the ProductID and price information which is only used in a few places. Everything else is going to be housed in Sitecore.

If anyone has anything to add feel free, as far as I can tell from Google, no one has actually done this before, so I'm having a lot of trouble finding resources on this particular topic.

UPDATE:

The integration is in fact possible and our site has been up for a week and a half now with very few integration related problems. This isn't something I recommend doing really on a personal level, but it is in fact possible to pull off.