If President Barack Obama has soured on pointless haggling with congressional Republicans, the feeling is mutual.

So after Tuesday evening’s post-State of the Union platitudes about working together have been dispensed with, expect House and Senate Republicans to go their own way, ignoring Obama and his demands as much as possible.

Republicans still vow to engage with Obama, and fight him, on issues that require collaboration, the budget and the debt ceiling included. But much as Obama regretted the Washington-centric debates of his first term and took to the road early and often since winning re-election, House Republicans plan to shift from perpetual combat with the president in favor of a broad legislation agenda that focuses on voters and sets the table for 2014 — and even 2016.

“We can’t just sit here for two years and deal with the things the president throws at us,” a House Republican leadership aide said Monday. “We’re going to take our agenda outside of Washington.”

In the Senate, the Republicans’ minority status could force them to play defense in an effort to respond to an agenda that is controlled by the Democrats and usually an extension of policies being pushed by the White House. But in the House, where Republicans run the floor, the party plans to shift gears, spearheading a series of bills designed less to land on the president’s desk than to communicate to Americans what the GOP stands for.