I am not an immigration lawyer, however, in my practice - primarily criminal law - I have represented many individuals who were taken into custody for outstanding warrants at points of entry.

Chances are that, whether you disclose it or not, the consular official reviewing your visa application will find out about your warrant. Your visa application is likely to be denied due to the outstanding warrant, lying about its existence or willful refusal to obey a lawful court order.

Even if you were to obtain a visitor's visa, upon arrival in the United States, the CBP officer will have access to an arrests, wants and warrants system and will know of your warrant. At that point, you will either be refused admission to the United States or be held until Georgia decides whether to seek your extradition. Most states seek extradition only for felony criminal matters. However, even if Georgia does not seek you extradition, I doubt that you will be admitted to the country at that point.

My recommendation is that unless you comply with the court order, save the visa application fee.