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 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.
Freedom of speech isn't a fundamental right. If you doubt this try publicly and clearly threatening people with the intent to harm. You will be prosecuted for that action.
You should avoid using words you almost cettainly do not understand which in this case is "fascist".
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.