These are both false statements.
Demonstrate what you say with an example.
Conservatives advocated the formation of the Department of Homeland Security, which centralized many police functions and increased the power of the federal government.
Liberals are in favor of allowing states to set their own rules w/r/t marijuana, e.g. allowing California to permit widespread use of marijuana for "medical" reasons.
Of course, examples may also be found going the other direction. Neither conservatives nor liberals favor or oppose a strong federal government or state authority across the board, as an end in itself -- only as a means to an end, and that may go either way, depending on specifics.
We are talking past each other on this.
If a person is a Conservative, he is against the intrusion into the private life of the government. You seem to be including the voting blocks of the respective parties to arrive at your definitions.
Liberalism demands this intrusion into private lives and Conservatism demands that this intrusion be severely limited. If your goal is to legislate that same sex relations be outlawed, that, to me, is a Liberal use of the government. If you believe that a private citizen can be compelled to sell his private property to another private individual by government, that, to me, is a Liberal position.
A Liberal generally "knows" what is best for me. That i disagree with most as to that condition puts me at odds with Liberals.
To me, any intrusion into my life by the government is to be discouraged. As government expands its reach and control of my life, my rights are diminished and my freedom eroded.
I think that both Democrats and Republicans are equally guilty of trying to exert control on what I may do or may elect to do in the future and I resent it.
If I want to own a gun, erect a cross, take a same sex partner or smoke dope, who should care if I do no harm to others?
All I ask is that I be left free to pursue my own happiness and I will, happily, afford that same courtesy to everyone else.