Seeing how Switzerland isn't a member of the EU, I'd say don't get your hopes up anytime soon...
I'm not sure if that would be to their detriment. Demand in other EU countries is likely to go down, since it's plausible to incorporate (or incorporate a subsidiary) in the UK to get Stripe now :)
Same goes for Georgia (4.5m). Not even Paypal... So far only Skrill (Moneybookers).
Does anyone know an alternative to stripe for switzerland?
https://www.paymill.com/. There's been some criticism of them elsewhere in this thread, though. I don't have any experience with them myself.