Why should either party compromise. The Republicans (probably correctly) feel that Obamacare will seriously undermine the economy and undermine individual’s autonomy over their health care. The Democrats believe that Obamacare will significant improve the lives of most Americans and is a key to the future welfare of the country. Only a hypocrite would do something that believe will cripple the nation in return for a short term political gain.
And it shows the strength of our separation of powers, withs its checks and balances. This is how the system should work. If you prefer something smoother – try North Korea. No shutdowns there.