Whether the conservatives opposed to cloture can be shut out of participating in the process of producing a bill or not, there are still Senators on the other side of the aisle who oppose the bill in its present form due to the ‘guest worker’ portions of the bill opposed by the AFL-CIO. There happens to be at least one member of the group opposed to cloture who knows full well how the Senate can be tied up in knots with arcane parliamentary procedures, i. e., democrat Senator Byrd of West Virginia. Unless the ‘guest workers’ of the bill can somehow be removed from the bill it is going no where. In return, the Pubbies, at least the rinos, will not let go of the additional visa quotas that are part of the bill, including the new Z visas for illegals currently residing in the country. Therefore the impasse will continue. As a backstop, even if the Senate should miraculously pass a bill close to what it is now, there is much more opposition on both sides of the aisle in the House to such a proposal, and it thus die on the vine there as well.
I hope you are right that if anything like the bill passes the Senate, it will die in the House! There will be no support for the Republican Party from me if any Republicans vote for this bill!