Under present circumstances, too much of what is good in the House bill will be watered down in a conference committee trying to mesh it with the Senate bill, while too many corrections of what is wrong with the Senate bill will be papered over with diplomatic language that reads one way to the public and another to the lawyers.
The ONLY way to go forward is with completely separate bills, with security and enforcement demands passed in their own bill, and passed before any consideration of the specifics of what to do next.
Only after that can revised immigration levels and anything else be considered - without the majority having to compromise on security, just to pass a bill. Only when we do not have to make compromises over security do we maintain the strength, in Congress to not make too many compromises over the rest.
There are no "RULES" that a conference report must contain a "compromise"... if we the people inform our elected officials that the HOUSE bill is what we want, then the conference will be a success.. but to avoid a conference is a punt, and that is unacceptable..