Such creatures exist, but it's important to realize that their purpose, aside from the usual taxcutsandkillwelfarestatebutfreemoneyforrichpeople agenda, isn't to come up with conservative means to achieve somewhat liberal ends, their purpose is to derail any attempt to achieve liberal ends. They don't want their crappy health care plan to pass, it just exists so they can propose a "serious" alternative and then regretfully torpedo the more liberal alternative.
Obama passed their plan, and they responded by deciding he was worse than Hitler.
