Well . . . their logo is the Statue of Liberty winking at you. I imagine WinkProgress is fake.
If not entirely fake, the part that caused someone to share an article on Facebook or Google Plus is certainly made-up.
From their Facebook page:
WinkProgress.com your source for Radical-LEFT-Wing-Comedy Conspiracy!
From their About Us page:
WinkProgress.com, [. . .] where people can come to find content from a variety of sources that shares this unified style and purpose: using humor to educate and promote the progressive agenda.
They are quite funny, actually.