President Obama appears to be reaching out to Republican lawmakers.

This week, he is scheduled to make three separate trips to Capitol Hill.

Despite this attempt to warm up to the GOP, leading Republicans are determined to try once again to repeal the Affordable Care Act, or Obamacare.

And as Dana Bash reports, that's just one part of the emerging budget wars playing out this week in Washington.

Runniig for vice president, Paul Ryan argued constantly against raising taxes.

"What we don't need is a tax increase on our successful job creators that will cost us 700,000 jobs," Ryan said.

But months later, Republican leaders gave in on raising taxes to avoid tumbling off the fiscal cliff.

And now, Ryan's new budget claims to be balanced in 10 years, but how?

In part, by coounting revenue from the very tax increases Republicans opposed.

Democrats are eager to point out the irony.

"It tells me Republicans are prepared to pick and choose which of the policies they were for before, or against, in terms of how they put together their budget. It adds up right now with a lot of gimmicks and scotch tape," says Rep. Chris Van Hollen of Maryland.

The biggest gimmick, say Democrats, Ryan's 10-year balanced budget counts money from repealing Obamacare, which has no chance of happening in the near future.

Ths host of Fox News Sunday was incredulous.

Chris Wallace asked, "Are you saying that as part of your budget you would repeal - you assume the repeal of Obamacare?"

Ryan answered, "Yes."

Wallace said, "That's not going to happen."

To which Ryan countered, "Well, we believe it should."

Maybe so, but House Republicans have voted to repeal, or chip away at Obamacare 35 times, going nowhere in the Democratic Senate.

Senate Democrats will unveil their budget this week too, and CNN is told it will include tax increases. It's the first Senate budget in four years. It has become GOP sport to illustrate that.

"There have been 10 shuttle missions," says Rep. Tim Huelskamp of Kansas.

"Ipads didn't exist the last time the Senate passed a budget," says Sen. John Thune of South Dakota.

"I'd like to introduce everybody to my daughter. All of her life there's not been a budget in this country," says Rep. Steve Stivers of Ohio.

To be sure, it's easy to talk past each other when they're not talking at all.

Ryan lunched with the President last week, and says it was the first time they spoke for more than two minutes.
Democrat Chris Van Hollen was there too.

CNN's Dana Bash says "The fact he never talked to Paul Ryan who is the primary person on budget issues - the number one issue in this country."

Van Hollen says, "I think Paul Ryan has had his views represented in the room through his leadership now, the speaker has taken the position that he doesn't want to get together with the president, so the president is broadening that discussion which i think is a good thing."