Liberalism is an ideology. Conservatism is a position on an ideologic binary. Uf you ascribe to Liberalism you are claiming belief in a very specific form of government and economy. If you claim to be a conservative you need to clarify what kind of conservative you are.
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.