You are quite right. Most people I know who were strongly Republican were left with a bitter taste in their mouths when the Republicans tried to step in and intervene with Schaivo. They took it very personally and interpreted the actions of the government to be a threat to their own personal and family decisions. Some elementds of the Republican party championed it as a right to life case and were throwing everything they had at it. All it did was alientate Republicans and conservatives who either did not see it as a good political decision or who thought it was government making itself bigger and more intrusive. They didn't look at it as helping one woman, but setting the precident for interfering in everyones' lives.
How's it feel to be on the same side as the ACLU who helped Schiavo finish killing his wife? The government interfered by making the first order to kill Terri. The interference was the murder, not the cancellation of same which led to Terri's torture and murder. I thought the U.S. didn't condone torture. Oops, that's only applicable for terrorists, not for innocent Americans.
I recommend that you read what Martin Katz wrote in The American Thinker, March 29, 2005. That is how many saw this case.