But those in favor are hoping with Congress in the hands of Democrats, who have historically been less opposed to gambling than Republicans, along with the growing popularity of recreational poker, that will work to their advantage. The list of backers includes Frank, a New England liberal who says the government should not bother gamblers, and former Republican senator Alfonse M. D'Amato (N.Y.), chairman of the Poker Players Alliance, which is leading the Capitol Hill push. With 1.2 million members, the alliance is funded largely by the Interactive Gaming Council, a Canada-based trade group for offshore gambling firms. Together, the groups have spent more than $4 million on Washington lobbying over the past year, and the alliance says its members have recently sent more than 300,000 mailings and e-mails to members of Congress.