Should homosexuals be put into jail?
Jail is for people who break man's law. As of a year ago, 72 countries had antisodomy laws, including the US (17 States). Not all of them have jail time as a penalty. In the states and countries that do require jail time, the answer is yes, if convicted of sodomy, not just homosexuality.
God would have them merely repent and be baptized etc. If they don't I believe God has something a little worse than jail in store for them.