This Catholic inaction is relevant because Catholicism is the largest single religious denomination in Uganda. The second largest Church of the Province of Uganda (Anglican), who have declined thus far to oppose the bill in any way or take an official position, but did take the time recently to restate that "homosexual behaviour is immoral and should not be promoted, supported, or condoned in any way as an 'alternative lifestyle'" when asked about the bill of genocide.
The Guardian has more on the connection to US fundamentalists and the Stephen Langa-organised Scott Lively/Don Schmierer/Caleb Lee Brundidge anti-gay hate conference that lead to the bill being introduced. The seminar series focused on the need to, quote, "expose the truth behind homosexuality and the homosexual agenda." (Which, if you're wondering, was of course child rape.)
In better news, the DC City Council gave first-vote approval to extending civil marriage equality, with a second vote coming up December 15th. Congress will then have 30 days to review the ordinance, which it can override. This was in defiance of the Catholic Church's threat to withdraw all social services from the city.
In contrast to this step forward, the New York State Senate has again overwhelmingly rejected marriage equality today, and the prospects for advancement in New Jersey appear increasingly grim as - quoting the linked story - "the Roman Catholic Church in New Jersey threw its muscle into the fight. Bishops and priests spoke against it from the pulpit, and more than 150,000 parishioners signed petitions in opposition."
We see what they can do, here and now. In Uganda, we see what they will do, if they can.