MY car was stolen, how do I get the insurance company to close it within a reasonable amount of time!?

You've been requested (demanded) to submit to an "Examination Under Oath," (an EUO) which is the insurance company's right under the terms of the policy. At this time, I would not panic - the delays and inconvenience may be significant, but, they have the right to take your statement about the circumstances of your loss, in person and under oath. "Red flags" are not enough to deny coverage on, and so they need to follow up to satisfy the auditors that any payment is just, or that there are indeed circumstances under which coverage should be denied.

There will likely be the adjuster(or investigator), the insurance company's lawyer (who will likely conduct the EUO) and a stenographer who records everything.

They are looking for substantial information on which they can deny your claim. Your financial situation, work history, other debts, etc. are all subjects that they will inquire about (these are sources of "red flags" on auto theft claims in the first place). If everything is above board with the theft and attendant damage, then there should be no issues at the end of the day. If you were trying to get away with something, as in a faked theft, or damage done before the theft or after the recovery, this is their opportunity to establish those facts and deny coverage to you for part or all of your claimed loss.

If, on the other hand, you fully cooperate in the EUO, everything is above board, and they deny coverage - then you really should consult a lawyer in yourarea with expereince in insurance coverage issues. IF you get a denial letter, get a lawyer.