You can get your ATP, you just have the ICAO restriction on it. Meaning you can't fly to Canada/Mexico/Internationally until you meet the ATP requirements. Once you meet the requirements you can have the restriction removed.
"(d) An applicant is issued an airline transport pilot certificate with the limitation, "Holder does not meet the pilot in command aeronautical experience requirements of ICAO," as prescribed under Article 39 of the Convention on International Civil Aviation, if the applicant does not meet the ICAO requirements contained in Annex 1 "Personnel Licensing" to the Convention on International Civil Aviation, but otherwise meets the aeronautical experience requirements of this section."