I am not going to comment on whether a compromise can be achieved or not. Compromises that don't address the minimum need are not compromises, they are defeats.
If a person works for 8 hours at $15 a day, he will make $600 in a week. If that $600 is multiplied by 4.23 (monthly), it comes out to $2538 per month. In a year, that is $30,456 per year.
Lets just say we are talking about 1 person (not a family). The average rental price for a 1-bedroom apartment in the U.S. is $1098 per month (that is $13176 in a year). The average expenditure for food for 1 person per month is $342 (that is $4104 per year). Average cost of utilities for 1 person per month is $256 (that is $3070 per year). Auto insurance for 1 year is $1929. Health insurance costs per year $1122. Cable and internet is $1122.
That comes out to a total of $24,523. Those expenses are all necessary to live. This means that if he is making $30,456 per year and pays $24,523 for absolute necessities, it means he has $5,930 for everything else, meaning he has $494 per month for clothing, entertainment, gasoline (at $5 a gallon), and for dating. That is an extra $16 per day to spend on anything not considered a need.
As such, giving in to making a compromise with the Republicans, means accepting failure of doing the absolute minimum for an American citizen to live.
No, no compromise should be accepted.