Traditional conservatives have ever thought PresBush was a extreme rightwinger, or "a far right wing conservative", as you say.
However, PresBush has always called himself, a compassionate conservative. Bush has always espoused the public temperment and political agenda of Ronald Reagan. After all, Reagan was known to compromise and neogotiate when it was called for. Reagan was also a fiscal conservative, who had some limited success in his first term, at slowing down the rapid growth of federal spending. His hsitoric tax cuts of 1981 and the 1986 Yax Reform Act, where monumental achievements after twenety yaers of liberal legislation.
While Reagan didn't have control of the entire Congress, he did use his veto pen quite often. To my knowledge, PresBush hasn't used his veto power once since taking office. I find that perplexing, even for a compassionate conservative.