No. A few examples of the mental mishmash:
Libertarians believe in freedom regardless of virtue.
Obvious self-contradiction. The libertarian position is that government infringement of freedom is morally wrong, not merely inefficient and foolish. Obviously, a concept of moral wrong cannot exist without a concept of virtue.
Therefore, you harvest the common ground principles from religion in general, without establishing religion into law.
This is in your description of conservative positions, but is clearly a libertarian position.
A problem arises because Libertarians tend to agree with liberals that religion and morality are dangers to liberty.
A repetition of the error addressed above.
What libertarians miss when they join with liberals on social issues is that even if their goal of total social licesne without regard to virtue were achievable, it can never be achieved before fiscal freedom is achieved.
Nonsense. Libertarians are more insistent on fiscal freedom than conservatives (and far more so that the self-styled "conservatives" currently running the circus in Washington).