After installing the phone version, I just tried the Desktop version on Debian. It doesn't work: fails to connect because none of the machines I have (even the Windows one!) is able to trust the digital certificate from https://textsecure-service.whispersystems.org/v1/config . I mean, I could try to add the certificate to the exception list, but when it comes to stuff like Signal I feel I shouldn't be doing any of this at all. And their website has no mention about adding certificates to my chain.
I wanna try to move away from Whatsapp too, but when your "Secure" app fails to work because no one trusts your digital certificate, I inevitably start questioning your claims of both quality and security... Everybody will stick to the old product if the new one isn't polished....