How can they ask for this test if her religion is protected by the first amendment?

Either cut your hair or disobey the court order and lose your kids.

How much time will they serve for their first time?

Probably 10-14 months, depending on other factors.

Can I get a passport with a misdemeanor arrest warrant? I need to work to pay legal fees but need an id to work.

Nope. Get an I.D. card from the DOR. I can't promise you won't get arrested with a pending warrant.

Wife and I are cosigners on a bond.. If bond is revoked are we reliable for the rest of his bail money?

Yes. If he does not go to Court the court will issue a warrant. If he never gets arrested (usually within a few months) the Court will FORFEIT...

What would be the best and quickest way to get my case with prejudice, so I can move on and join the military.

You're gonna need to spend some money on a lawyer, because what you want - doesn't happen very often.

Yes, it's a number of felonies. You should consider reporting that to the police.

What should I do? My PO is a hard ass and I know I didn't do anything wrong but I don't wanna go to jail.

You're not going to jail in StL for a "speeding" ticket while on probation. Since you're working, if you're worried, get a lawyer, problem solved.

What will happen to me in court? and what will I need to show the judge for court?

You'll be convicted of both offenses and will get points on your license. If you get a lawyer you'll get a better deal.

Do I need a lawyer?

Yes, or the judge may put you in jail.

Is the lawyer supposed to represent my husband?

If it's a public defender he will get the same one. If you hired the lawyer then you have to make a new deal with that lawyer.