I think the following describes how we need to need to live in order to "be separate."
1 Thessalonians 4:1-12 (KJV)
1Furthermore then we beseech you, brethren, and exhort you by the Lord Jesus, that as ye have received of us
how ye ought to walk and to please God, so ye would abound more and more.
2For ye know what commandments we gave you by the Lord Jesus.
3For
this is the will of God, even your sanctification, that ye should abstain from fornication:
4That every one of you should know how to possess his vessel in sanctification and honour;
5Not in the lust of concupiscence, even as the Gentiles which know not God:
6That no man go beyond and defraud his brother in any matter: because that the Lord is the avenger of all such, as we also have forewarned you and testified.
7For
God hath not called us unto uncleanness, but unto holiness.
8He therefore that despiseth, despiseth not man, but God, who hath also given unto us his holy Spirit.
9But as touching brotherly love ye need not that I write unto you: for ye yourselves are taught of God to love one another.
10And indeed ye do it toward all the brethren which are in all Macedonia: but we beseech you, brethren, that ye increase more and more;
11And that ye study to be quiet, and to do your own business, and to work with your own hands, as we commanded you;
12
That ye may walk honestly toward them that are without, and that ye may have lack of nothing.
Also:
Galatians 5:19-23 (KJV)
19Now
the works of the flesh are manifest, which are these; Adultery, fornication, uncleanness, lasciviousness,
20Idolatry, witchcraft, hatred, variance, emulations, wrath, strife, seditions, heresies,
21Envyings, murders, drunkenness, revellings, and such like: of the which I tell you before, as I have also told you in time past, that they which do such things shall not inherit the kingdom of God.
22But
the fruit of the Spirit is love, joy, peace, longsuffering, gentleness, goodness, faith,
23Meekness, temperance: against such there is no law.