~snip~
As strict as the rules are in Qatar, I believe that foreigners who are arrested for drinking or kissing in public are likely to have their prison sentences converted into a fine.
Obviously it won't be a cheap fine, because Qatar needs to impose that respect, but I believe that there will be this flexibility for those who are foreigners.
Of course, it all depends on the "damage" that the person commits... in the case of being absurdly drunk or parading naked through the streets, it should result in much bigger problems than a simple fine.

A Mexican woman reported an assault in Qatar. She faces jail, 100 lashes.
"Although I had the forensic evidence of the beatings and everything, they believed him," Paola Schietekat said about the incident, which has made international headlines.