CRITICAL GND CONFLICT SENSED BY THE PIC OF A LNDG B737 WHEN LCL CTLR CLRS ANOTHER ACR FOR TKOF ON A XING RWY AT LGA; NY.

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WE WERE ARRIVING IN THE LGA TERMINAL AREA AND AFTER EXTENSIVE VECTORING WERE CLRED FOR THE EXPRESS VISUAL TO RWY 31. AS IS USUAL; LGA WAS EXTREMELY BUSY AND CROSS RWY OPS WERE IN EFFECT. THE WX AND VISIBILITY WERE GOOD AND WAS NOT A FACTOR IN MY OPINION. THE FO WAS THE PF AND AS WE CROSSED OVER THE WHITE WATER TANKS AND TURNED TO THE 085 DEG HDG; WE WERE INSTRUCTED TO CONTACT TWR. WHEN I CHKED ON WITH TWR; WE WERE ASKED IF WE HAD THE PRECEDING REGIONAL JET IN SIGHT. BOTH THE FO AND I SAW THE RJ AND I ADVISED THE TWR OF THAT FACT. WE WERE THEN TOLD TO 'FOLLOW THE RJ; SQUARE THE TURN TO FINAL AND CONTINUE.' THE FO CONTINUED THE APCH AND; AS INSTRUCTED; SQUARED OFF THE TURN FROM BASE TO FINAL. WE WERE STABILIZED AT 1000 FT AGL AND I ANNOUNCED '1000 FT STABILIZED' AS PER COMPANY PROCS. AT APPROX THE SAME TIME WE TURNED FINAL THEN TWR INSTRUCTED ANOTHER ACR JET TO TAXI IN POS AND HOLD ON RWY 4. AFTER ACFT Y READ BACK THEIR CLRNC; THE TWR THEN TOLD US THAT S-TURNS WERE APPROVED AND TO CONTINUE. THE FO BEGAN SHALLOW S-TURNS AND AT THAT TIME; I VERBALLY REVIEWED THE GAR PROCS WITH THE FO; AS I BELIEVED A REJECTED LNDG WAS A REAL POSSIBILITY. WHILE WE WERE APPROX 1 - 1 1/5 MI OUT; THE TWR CLRED THE ACFT Y FOR AN IMMEDIATE TKOF ON RWY 4. AS WE PASSED OVER THE APCH LIGHTS; I QUERIED THE TWR AS TO WHAT THEY WANTED US TO DO. AS WE PASSED OVER THE THRESHOLD; WE HAD NOT YET RECEIVED OUR LNDG CLRNC. ALMOST SIMULTANEOUSLY; THE ACFT ANNOUNCED 'ONE HUNDRED' AND THE TWR CLRED US TO LAND. I DO NOT REMEMBER SEEING ACFT Y EVER CROSS THE RWY INTXN AND BECAUSE OF THAT FACT; COUPLED WITH THE FACT THAT WE WERE STILL NOT COMPLETELY WINGS LEVEL (FROM OUR S-TURNS) I COMMANDED THE FO TO GO AROUND. I ANNOUNCED OUR GAR TO THE TWR AND ASKED FOR INSTRUCTIONS. HE TOLD US TO CLB AND MAINTAIN 3000 FT AND FLY HDG 270 DEGS AND SWITCH TO DEP. WHEN WE CHKED ON WITH NEW YORK DEP; THE CTLR ASKED FOR OUR INTENTIONS. I FOUND THIS ODD AND TOLD HIM I WANTED TO RETURN TO LGA FOR LNDG. HE THEN SAID; 'WELL; I ASK BECAUSE TWR SAID THAT YOU INITIATED THE GAR.' I RESPONDED THAT I INITIATED THE GAR BECAUSE THERE WAS AN ACFT TAKING OFF ON THE XING RWY. I FOUND THIS SOMEWHAT STRANGE; ALMOST AS IF THE TWR WAS COVERING UP HIS ACTIONS FOR CLRING THE OTHER JET FOR TKOF. AS WE WERE COMPLETING CHKLISTS AND BEING VECTORED; THE FO ALLOWED THE ACFT TO CLB APPROX 500 FT ABOVE OUR ASSIGNED ALT. WHEN I CALLED HIS ATTN TO THIS; HE QUICKLY RETURNED TO THE ASSIGNED ALT. WE WERE THEN CLRED FOR THE EXPRESS VISUAL ONCE AGAIN AND LANDED WITHOUT FURTHER INCIDENT. IN SUMMARY; I BELIEVE THE TWR CTLR WAS RUSHED AND IMPROPERLY CLRED THE ACFT Y FOR TKOF. ALSO; ACFT Y DID EXPEDITE HIS TKOF ROLL FOR REASONS THAT ARE UNCLR TO ME. FINALLY; I BELIEVE IT IS IMPROPER FOR A TRANSPORT CATEGORY JET TO BE ASKED TO DO S-TURNS AT ALTS THAT ARE BELOW THE COMPANY'S PRESCRIBED MINIMUM STABILIZED APCH ALT (IN THIS CASE 1000 FT AGL) AND ULTIMATELY THIS IS WHY I DECIDED THAT THE GAR WAS THE SAFEST COURSE OF ACTION.