Falling back on the “States Rights” position for either Pro-Life or Anti-Gay Marriage issues is the position of cowards and those who could either care less, or would rather not fight for her so-called anti-gay marriage position.
I think Liz Cheney's the one "distorting her views". In 2009, she fully supported her father and sister's position, and was all for the federal government promoting gay marriage:
“Q. How do you feel about the California Supreme Court's decision [on Proposition 8], and what do yo think the Obama administration should do on the question of same-sex 'marriage'?”
“A. Well, look, I think, you know, my family has been very clear about this, that we think freedom means freedom for everybody."
“I applaud the State Department decision to extend benefits to same-sex partners around the world. I think it's wrong to discriminate in those relationships based on somebody's sexual preference.”
“I certainly would not like to see a constitutional amendment, as was suggested in the last administration, banning it.”