Lugar is standard "reasonable conservative", but with Republican party marching further and further to the right - that's not enough anymore. Barry Goldwater and Ronald Reagan would lose present day Republican primary as well... The same with Jimmy Carter and. possibly, Bill Clinton in Democratic primary by similar reasons..
Er, not sure what you're getting at. Carter was and is well to the left of Obama. When Obama was running against Hillary in the '08 primary, it was frequently noted that 95% of their policy positions were the same. Hillary might be very slightly to the left of Bill, but I doubt it. Either way, Bill Clinton's views are still very much within the Democratic party's mainstream.