Hello Daywalker,
To worship a false god is more than just to worship a pagan statue...it's when anything is placed first and foremost in your life besides God Himself. Whatever that thing is, it is now YOUR GOD as it is number one in your life, and it is a false god, in itself. We know what false god or belief that Sodom and Gemorrah put first and we know that all manner of wickedness was in the land before the flood.
Remember, the law is spiritual [Rom 7:14]...and God must be worshiped in spirit & truth [John 4:24]...and that includes 'Do not worship any false gods'.
The church is as blind as the world is to the true gospel...they do not have a view of righteousness as the god of this world has blinded them [2 Cor 4:4]. Those that KNOW the truth but yet still sin willingly [without conscience], it would have been better had they not known the truth. This is what the Lord is speaking of concerning 'blaspheming the Holy Spirit' [Matt 12:31].
God has concluded them ALL [Israel & Gentiles] in unbelief and we ALL [humanity] are guilty of ALL [transgression of the law, which is spiritual].
Rom 11:30-32 For as ye in times past have not believed God, yet have now obtained mercy through their unbelief: Even so have these also now not believed, that through your mercy they also may obtain mercy. For God hath concluded them all in unbelief, that he might have mercy upon all.
Rom 1:28-32, 2:1-3
v28 And even as they did not like to retain God in their knowledge, God gave them over to a reprobate mind, to do those things which are not convenient;
v29 Being filled with all unrighteousness, fornication, wickedness, covetousness, maliciousness; full of envy, murder, debate, deceit, malignity; whisperers,
v30 Backbiters, haters of God, despiteful, proud, boasters, inventors of evil things, disobedient to parents,
v31 Without understanding, covenantbreakers, without natural affection, implacable, unmerciful:
v32 Who knowing the judgment of God, that they which commit such things are worthy of death, not only do the same, but have pleasure in them that do them.
v1 Therefore thou art inexcusable, O man, whosoever thou art that judgest: for wherein thou judgest another, thou condemnest thyself; for THOU THAT JUDGEST DOEST THE SAME THINGS.
v2 But we are sure that the judgment of God is according to truth against them which commit such things.
v3 And thinkest thou this, O man, that judgest them which do such things, and doest the same, that thou shalt escape the judgment of God?
Hope this helps,
Marques