No they are not unless if they are conservative Liberals. A conservative Maoist and a conservative libertarian have very different ideologies despite being conservative within their own binaries. This is due to the fact that conservatism is a position in a binary and is not an ideology.
You can be a conservative and be illiberal.
Liberalism is literally and historically where the left begins. The right is authoritarianism and the left is liberalism to anarchism. Liberals are not leftists but it is a signof a distinct lack of education in political philosophy to claim liberalism as a right wing ideology.