Liz Cheney tried Sunday to highlight her criticisms of Sen. Mike Enzi, a fellow Republican whom she is challenging in the heated Wyoming GOP senatorial primary.

Her top contention: negotiating with Democrats on most major issues is unacceptable.

"Legislating is about knowing where to draw the line," Cheney said on "Fox News Sunday."

In fact, she found issue with Enzi's participation in the 'Gang of Six,' which tried to find a bipartisan solution on health care reform before ultimately disbanded. Enzi voted against the Affordable Care Act.

"When the president of the United States walks into a room and says we're going to impose a massive new federal program, take over a sixth of the economy... the right response [would be] 'absolutely not, under no circumstances,' " she argued.

Cheney also said that she opposed Enzi's collaboration with Sen. Dick Durbin, D-Ill., on the Internet sales tax.

"You either think the government has enough money, or you want to tax people more," she said.

The internet sales tax would extend certain local and state taxes to online retailers who don't have a physical presence in the jurisdiction of the buyer. Brick-and-mortar stores have argued that the current exemptions give online retailers an unfair advantage.

Further, the daughter of former Vice President Dick Cheney dismissed charges that she was a "carpetbagger," which stem from having just moved from Virginia back to the state last year. In response, she called herself a "fourth-generation Wyomingite" whose experience in Washington would be valuable for a senator to have.

"The time that I spent outside of Wyoming, working inside federal agencies in Washington, D.C., is experience that is very important," she said. "We have to cut agencies, their size, funding, and get the federal government under control."