1. First search via reference and hire locally (in your County) an Attorney who handles Family Law cases and knows jurisdiction / grounds for divorce under HMA vis-à-vis International Jurisdiction.
2. Pre-assuming both parties Hindu, I suggest instruct Attorney that you wish to seek divorce or judicial separation from her on the ground of mental cruelty mentioning all her threats and acts which have caused mental harassment amounting to cruelty.
3. Make State (the State under which both reside currently in USA) party (Respondent). Why? You are living in a abusive relationship and this matter about her threats of committing suicide and blaming you for this will be in the record of the county court and if she does so after receiving the Summon of the county court of your petition for divorce or judicial separation at least you will be having a defence in your favor that her allegation – threats - blame of your being solely involved for her suicide was not correct but purposely made to unnecessarily involve you in false criminal cases. This strategy of involving State also helps you in future if she commits suicide and her family in India files S. 304 B (Dowry death) and S. 306 (Abetment of suicide) of the IPC or in S. 498a and S. 406 IPC case if she runs from USA and comes to Indian soil and files these case or same filed by your MIL or by your wife’s men and/or agent herein India which is also possible for her to do while still remaining in US soils.
4. In case she doesn't commit any such foolish act of suicide as she has been threatening you then too you can get rid of her by using her such and such threats for either obtaining decree of divorce or judicial separation. Both these are grounds in USA as well as under HMA.
5. In USA the service of Summon to Respondent is quite straightforward procedure; via Court process server / via Police / via relative-friends-neighbour. Proceed serving her to County court’s summon for divorce or judicial separation.
6. Remember that now there is no question that if one of the spouse is not prepared to agree for dissolution of marriage the other spouse will have to continue the marriage. However, if the case is properly handled by a sensible Attorney the case get decided in ultimate divorce otherwise this happens https://www1.timesofindia.indiatimes.com/… read the glimpse of Indian judicial wisdom and enjoy the foolish manner the case was handled in this case by local Indian Advocate which is purely my view.
7. All above advice is based on reading down from your brief; young marriage, condition of filing for divorce or judicial separation, Jurisdiction clause of foreign Decree vis-à-vis applicability in India, threat perception, US Court system, will to come out of abusive relationship and thus brief replied accordingly.