That might be politically risky. Remember when the Republicans shut down the government? That hurt them for a while although they got a reprieve when the Obamacare rollout was such a disaster. If only the Obamacare rollout had gone smoothly from a technical perspective, it would probably have been a bigger problem for Republicans. It was such a blown opportunity for Democrats.
It doesn't seem that the GOP sustained any lasting damage. If it wasn't for Trump, I doubt whether they'd be in any serious difficulties in the House and Senate races.
As people who are more knowledgeable than I am have pointed, gerrymandering has ensured that for most GOP representatives, their opposition doesn't come from the Democratic Party candidate but instead a more rabidly conservative primary opponent. Under those circumstances being obstructive actually enhances their chances of re-election and provides a political benefit rather than a political risk.
The Senate is a different matter but there aren't many Senate candidates who wouldn't be doing themselves a favour by appearing to be more conservative.