1. Most people don't care MD or DO, you're a doctor
2. No one uses OMM, it's given lip service
3. Yes you can, GWU, Georgetown, IU, LSU, NU, UNM, Wright State, Drexel, U Central Caribe (PR), UW, LLU, SUNY and Baylor consider DOs for transfer. RFU, IU, Dartmouth, UNM, Drexel, San Juan Batista, U Central Caribe, SUNY Upstate and Ponce accept FMGs from WHO listed schools. However you are unlikely to transfer. People who do usually have above average USMLEs and GPAs. Your stuck.
DOs will find it easier to transfer. Also they have better residency options. Look at SGU, Ross, AUC or Saba most grads are in community programs in primary care. There are usually only 1 or 2 a year in hyper competitive specialties like ophtho, NSX, Derm etc. This 1 or 2 is total not per specialty.